QuestionSolve for $k$ in the equation: $-39 - 5k = 7(3 - 5k)$ .

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $-39-5 k=7(3-5 k)$ . The variable to solve for is $k$

STEP 2

First, we need to distribute the7 on the right side of the equation.
$-39-5 k=7 \\times -7 \\times5 k$

STEP 3

Now, perform the multiplication to simplify the right side of the equation.
$-39-5 k=21 -35 k$

STEP 4

Next, we want to get all terms involving $k$ on one side of the equation and the constant terms on the other side. We can do this by adding $35k$ to both sides of the equation.
$-39- k +35 k =21 -35 k +35 k$

STEP 5

implify the left side of the equation.
$30 k -39 =21$

STEP 6

Now, add $39$ to both sides of the equation to isolate the $k$ term on the left side.
$30 k -39 +39 =21 +39$

STEP 7

implify both sides of the equation.
$30 k =60$

STEP 8

Finally, divide both sides of the equation by $30$ to solve for $k$ .
$k = \frac{60}{30}$

STEP 9

Calculate the value of $k$ .
$k =2$ So, the solution to the equation $-39-5 k=7(3-5 k)$ is $k =2$ .

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QuestionSolve for $k$ in the equation: $-39 - 5k = 7(3 - 5k)$ .

Studdy Solution

STEP 1

Assumptions1. The equation to solve is $-39-5 k=7(3-5 k)$ . The variable to solve for is $k$

STEP 2

First, we need to distribute the7 on the right side of the equation.
$-39-5 k=7 \\times -7 \\times5 k$

STEP 3

Now, perform the multiplication to simplify the right side of the equation.
$-39-5 k=21 -35 k$

STEP 4

Next, we want to get all terms involving $k$ on one side of the equation and the constant terms on the other side. We can do this by adding $35k$ to both sides of the equation.
$-39- k +35 k =21 -35 k +35 k$

STEP 5

implify the left side of the equation.
$30 k -39 =21$

STEP 6

Now, add $39$ to both sides of the equation to isolate the $k$ term on the left side.
$30 k -39 +39 =21 +39$

STEP 7

implify both sides of the equation.
$30 k =60$

STEP 8

Finally, divide both sides of the equation by $30$ to solve for $k$ .
$k = \frac{60}{30}$

STEP 9

Calculate the value of $k$ .
$k =2$ So, the solution to the equation $-39-5 k=7(3-5 k)$ is $k =2$ .

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QuestionSolve for kkk in the equation: −39−5k=7(3−5k)-39 - 5k = 7(3 - 5k)−39−5k=7(3−5k).

Studdy Solution

STEP 1

Assumptions1. The equation to solve is −39−5k=7(3−5k)-39-5 k=7(3-5 k)−39−5k=7(3−5k). The variable to solve for is kkk

STEP 2

First, we need to distribute the7 on the right side of the equation.−39−5k=7times−7times5k-39-5 k=7 \\times -7 \\times5 k−39−5k=7times−7times5k

STEP 3

Now, perform the multiplication to simplify the right side of the equation.−39−5k=21−35k-39-5 k=21 -35 k−39−5k=21−35k

STEP 4

Next, we want to get all terms involving kkk on one side of the equation and the constant terms on the other side. We can do this by adding 35k35k35k to both sides of the equation.−39−k+35k=21−35k+35k-39- k +35 k =21 -35 k +35 k−39−k+35k=21−35k+35k

STEP 5

implify the left side of the equation.30k−39=2130 k -39 =2130k−39=21

STEP 6

Now, add 393939 to both sides of the equation to isolate the kkk term on the left side.30k−39+39=21+3930 k -39 +39 =21 +3930k−39+39=21+39

STEP 7

implify both sides of the equation.30k=6030 k =6030k=60

STEP 8

Finally, divide both sides of the equation by 303030 to solve for kkk.k=6030k = \frac{60}{30}k=3060​

STEP 9

Calculate the value of kkk.k=2k =2k=2So, the solution to the equation −39−5k=7(3−5k)-39-5 k=7(3-5 k)−39−5k=7(3−5k) is k=2k =2k=2.

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QuestionSolve for $k$ in the equation: $-39 - 5k = 7(3 - 5k)$ .

Assumptions1. The equation to solve is $-39-5 k=7(3-5 k)$ . The variable to solve for is $k$

First, we need to distribute the7 on the right side of the equation.
$-39-5 k=7 \\times -7 \\times5 k$

Now, perform the multiplication to simplify the right side of the equation.
$-39-5 k=21 -35 k$

Next, we want to get all terms involving $k$ on one side of the equation and the constant terms on the other side. We can do this by adding $35k$ to both sides of the equation.
$-39- k +35 k =21 -35 k +35 k$

implify the left side of the equation.
$30 k -39 =21$

Now, add $39$ to both sides of the equation to isolate the $k$ term on the left side.
$30 k -39 +39 =21 +39$

implify both sides of the equation.
$30 k =60$

Finally, divide both sides of the equation by $30$ to solve for $k$ .
$k = \frac{60}{30}$

Calculate the value of $k$ .
$k =2$ So, the solution to the equation $-39-5 k=7(3-5 k)$ is $k =2$ .