QuestionSolve the equation: $4(u-4)-6=-4(-3 u+3)-4 u$

Studdy Solution

STEP 1

Assumptions1. The given equation is $4(u-4)-6=-4(-3 u+3)-4 u$ . We are solving for the variable $u$

STEP 2

First, we need to distribute the $4$ on the left side of the equation and the $-4$ on the right side.
$4u -16 -6 =12u -12 -4u$

STEP 3

Next, we simplify both sides of the equation.
$u -22 =8u -12$

STEP 4

Now, we will isolate the variable $u$ on one side of the equation. Let's move $4u$ from the left side to the right side by subtracting $4u$ from both sides.
$-22 =8u -4u -12$

STEP 5

implify the right side of the equation.
$-22 =4u -12$

STEP 6

Next, we'll isolate $u$ by moving $-12$ from the right side to the left side by adding $12$ to both sides.
$-22 +12 =4u$

STEP 7

implify the left side of the equation.
$-10 =4u$

STEP 8

Finally, we'll solve for $u$ by dividing both sides of the equation by $4$ .
$u = \frac{-10}{4}$

STEP 9

implify the right side of the equation to get the final solution.
$u = -2.5$ So, the solution to the equation $4(u-4)-6=-4(-3 u+3)-4 u$ is $u = -2.5$ .

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QuestionSolve the equation: $4(u-4)-6=-4(-3 u+3)-4 u$

Studdy Solution

STEP 1

Assumptions1. The given equation is $4(u-4)-6=-4(-3 u+3)-4 u$ . We are solving for the variable $u$

STEP 2

First, we need to distribute the $4$ on the left side of the equation and the $-4$ on the right side.
$4u -16 -6 =12u -12 -4u$

STEP 3

Next, we simplify both sides of the equation.
$u -22 =8u -12$

STEP 4

Now, we will isolate the variable $u$ on one side of the equation. Let's move $4u$ from the left side to the right side by subtracting $4u$ from both sides.
$-22 =8u -4u -12$

STEP 5

implify the right side of the equation.
$-22 =4u -12$

STEP 6

Next, we'll isolate $u$ by moving $-12$ from the right side to the left side by adding $12$ to both sides.
$-22 +12 =4u$

STEP 7

implify the left side of the equation.
$-10 =4u$

STEP 8

Finally, we'll solve for $u$ by dividing both sides of the equation by $4$ .
$u = \frac{-10}{4}$

STEP 9

implify the right side of the equation to get the final solution.
$u = -2.5$ So, the solution to the equation $4(u-4)-6=-4(-3 u+3)-4 u$ is $u = -2.5$ .

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QuestionSolve the equation: 4(u−4)−6=−4(−3u+3)−4u4(u-4)-6=-4(-3 u+3)-4 u4(u−4)−6=−4(−3u+3)−4u

Studdy Solution

STEP 1

Assumptions1. The given equation is 4(u−4)−6=−4(−3u+3)−4u4(u-4)-6=-4(-3 u+3)-4 u4(u−4)−6=−4(−3u+3)−4u . We are solving for the variable uuu

STEP 2

First, we need to distribute the 444 on the left side of the equation and the −4-4−4 on the right side.4u−16−6=12u−12−4u4u -16 -6 =12u -12 -4u4u−16−6=12u−12−4u

STEP 3

Next, we simplify both sides of the equation.u−22=8u−12u -22 =8u -12u−22=8u−12

STEP 4

Now, we will isolate the variable uuu on one side of the equation. Let's move 4u4u4u from the left side to the right side by subtracting 4u4u4u from both sides.−22=8u−4u−12-22 =8u -4u -12−22=8u−4u−12

STEP 5

implify the right side of the equation.−22=4u−12-22 =4u -12−22=4u−12

STEP 6

Next, we'll isolate uuu by moving −12-12−12 from the right side to the left side by adding 121212 to both sides.−22+12=4u-22 +12 =4u−22+12=4u

STEP 7

implify the left side of the equation.−10=4u-10 =4u−10=4u

STEP 8

Finally, we'll solve for uuu by dividing both sides of the equation by 444.u=−104u = \frac{-10}{4}u=4−10​

STEP 9

implify the right side of the equation to get the final solution.u=−2.5u = -2.5u=−2.5So, the solution to the equation 4(u−4)−6=−4(−3u+3)−4u4(u-4)-6=-4(-3 u+3)-4 u4(u−4)−6=−4(−3u+3)−4u is u=−2.5u = -2.5u=−2.5.

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QuestionSolve the equation: $4(u-4)-6=-4(-3 u+3)-4 u$

Assumptions1. The given equation is $4(u-4)-6=-4(-3 u+3)-4 u$ . We are solving for the variable $u$

First, we need to distribute the $4$ on the left side of the equation and the $-4$ on the right side.
$4u -16 -6 =12u -12 -4u$

Next, we simplify both sides of the equation.
$u -22 =8u -12$

Now, we will isolate the variable $u$ on one side of the equation. Let's move $4u$ from the left side to the right side by subtracting $4u$ from both sides.
$-22 =8u -4u -12$

implify the right side of the equation.
$-22 =4u -12$

Next, we'll isolate $u$ by moving $-12$ from the right side to the left side by adding $12$ to both sides.
$-22 +12 =4u$

implify the left side of the equation.
$-10 =4u$

Finally, we'll solve for $u$ by dividing both sides of the equation by $4$ .
$u = \frac{-10}{4}$

implify the right side of the equation to get the final solution.
$u = -2.5$ So, the solution to the equation $4(u-4)-6=-4(-3 u+3)-4 u$ is $u = -2.5$ .