QuestionSolve the equation: $-2(3v - 4) = 38$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $-(3 v-4)=38$ . We are solving for the variable $v$

STEP 2

First, we need to distribute the $-2$ on the left side of the equation.
-2( v-4) = -2 \timesv -2 \times -4

STEP 3

Calculate the distributed values.
$-2 \times3v = -6v$ $-2 \times - =8$ So, the equation becomes $-6v +8 =38$

STEP 4

Next, we need to isolate the variable $v$ on one side of the equation. We can do this by subtracting $8$ from both sides of the equation.
$-6v +8 -8 =38 -8$

STEP 5

Calculate the subtraction.
$-v =30$

STEP 6

Finally, to solve for $v$ , we need to divide both sides of the equation by $-6$ .
$v = \frac{30}{-6}$

STEP 7

Calculate the division.
$v = -5$ So, the solution to the equation $-2(3 v-4)=38$ is $v = -5$ .

Was this helpful?

QuestionSolve the equation: $-2(3v - 4) = 38$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $-(3 v-4)=38$ . We are solving for the variable $v$

STEP 2

First, we need to distribute the $-2$ on the left side of the equation.
-2( v-4) = -2 \timesv -2 \times -4

STEP 3

Calculate the distributed values.
$-2 \times3v = -6v$ $-2 \times - =8$ So, the equation becomes $-6v +8 =38$

STEP 4

Next, we need to isolate the variable $v$ on one side of the equation. We can do this by subtracting $8$ from both sides of the equation.
$-6v +8 -8 =38 -8$

STEP 5

Calculate the subtraction.
$-v =30$

STEP 6

Finally, to solve for $v$ , we need to divide both sides of the equation by $-6$ .
$v = \frac{30}{-6}$

STEP 7

Calculate the division.
$v = -5$ So, the solution to the equation $-2(3 v-4)=38$ is $v = -5$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the equation: −2(3v−4)=38-2(3v - 4) = 38−2(3v−4)=38.

Studdy Solution

STEP 1

Assumptions1. The equation is −(3v−4)=38-(3 v-4)=38−(3v−4)=38 . We are solving for the variable vvv

STEP 2

First, we need to distribute the −2-2−2 on the left side of the equation.-2( v-4) = -2 \timesv -2 \times -4

STEP 3

Calculate the distributed values.−2×3v=−6v-2 \times3v = -6v−2×3v=−6v−2×−=8-2 \times - =8−2×−=8So, the equation becomes−6v+8=38-6v +8 =38−6v+8=38

STEP 4

Next, we need to isolate the variable vvv on one side of the equation. We can do this by subtracting 888 from both sides of the equation.−6v+8−8=38−8-6v +8 -8 =38 -8−6v+8−8=38−8

STEP 5

Calculate the subtraction.−v=30-v =30−v=30

STEP 6

Finally, to solve for vvv, we need to divide both sides of the equation by −6-6−6.v=30−6v = \frac{30}{-6}v=−630​

STEP 7

Calculate the division.v=−5v = -5v=−5So, the solution to the equation −2(3v−4)=38-2(3 v-4)=38−2(3v−4)=38 is v=−5v = -5v=−5.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the equation: $-2(3v - 4) = 38$ .

Assumptions1. The equation is $-(3 v-4)=38$ . We are solving for the variable $v$

First, we need to distribute the $-2$ on the left side of the equation.
-2( v-4) = -2 \timesv -2 \times -4

Calculate the distributed values.
$-2 \times3v = -6v$ $-2 \times - =8$ So, the equation becomes $-6v +8 =38$

Next, we need to isolate the variable $v$ on one side of the equation. We can do this by subtracting $8$ from both sides of the equation.
$-6v +8 -8 =38 -8$

Calculate the subtraction.
$-v =30$

Finally, to solve for $v$ , we need to divide both sides of the equation by $-6$ .
$v = \frac{30}{-6}$

Calculate the division.
$v = -5$ So, the solution to the equation $-2(3 v-4)=38$ is $v = -5$ .