QuestionSolve for $m$ in the equation: $251 = m - 8(5m - 7)$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $251=m-8(5 m-7)$ . We need to solve for $m$

STEP 2

First, we need to distribute the $-8$ to both terms inside the parentheses.
$251 = m -8 \cdot5m +8 \cdot7$

STEP 3

implify the equation by performing the multiplication.
$251 = m -40m +56$

STEP 4

Combine like terms on the right side of the equation.
$251 = -39m +56$

STEP 5

To isolate $m$ , first move the constant term from the right side of the equation to the left side by subtracting $56$ from both sides.
$251 -56 = -39m$

STEP 6

Perform the subtraction on the left side of the equation.
$195 = -39m$

STEP 7

To solve for $m$ , divide both sides of the equation by $-39$ .
$m = \frac{195}{-39}$

STEP 8

Perform the division to find the value of $m$ .
$m = -5$ So, the solution to the equation $251=m-8(5 m-7)$ is $m = -5$ .

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QuestionSolve for $m$ in the equation: $251 = m - 8(5m - 7)$ .

Studdy Solution

STEP 1

Assumptions1. The equation is $251=m-8(5 m-7)$ . We need to solve for $m$

STEP 2

First, we need to distribute the $-8$ to both terms inside the parentheses.
$251 = m -8 \cdot5m +8 \cdot7$

STEP 3

implify the equation by performing the multiplication.
$251 = m -40m +56$

STEP 4

Combine like terms on the right side of the equation.
$251 = -39m +56$

STEP 5

To isolate $m$ , first move the constant term from the right side of the equation to the left side by subtracting $56$ from both sides.
$251 -56 = -39m$

STEP 6

Perform the subtraction on the left side of the equation.
$195 = -39m$

STEP 7

To solve for $m$ , divide both sides of the equation by $-39$ .
$m = \frac{195}{-39}$

STEP 8

Perform the division to find the value of $m$ .
$m = -5$ So, the solution to the equation $251=m-8(5 m-7)$ is $m = -5$ .

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QuestionSolve for mmm in the equation: 251=m−8(5m−7)251 = m - 8(5m - 7)251=m−8(5m−7).

Studdy Solution

STEP 1

Assumptions1. The equation is 251=m−8(5m−7)251=m-8(5 m-7)251=m−8(5m−7). We need to solve for mmm

STEP 2

First, we need to distribute the −8-8−8 to both terms inside the parentheses.251=m−8⋅5m+8⋅7251 = m -8 \cdot5m +8 \cdot7251=m−8⋅5m+8⋅7

STEP 3

implify the equation by performing the multiplication.251=m−40m+56251 = m -40m +56251=m−40m+56

STEP 4

Combine like terms on the right side of the equation.251=−39m+56251 = -39m +56251=−39m+56

STEP 5

To isolate mmm, first move the constant term from the right side of the equation to the left side by subtracting 565656 from both sides.251−56=−39m251 -56 = -39m251−56=−39m

STEP 6

Perform the subtraction on the left side of the equation.195=−39m195 = -39m195=−39m

STEP 7

To solve for mmm, divide both sides of the equation by −39-39−39.m=195−39m = \frac{195}{-39}m=−39195​

STEP 8

Perform the division to find the value of mmm.m=−5m = -5m=−5So, the solution to the equation 251=m−8(5m−7)251=m-8(5 m-7)251=m−8(5m−7) is m=−5m = -5m=−5.

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QuestionSolve for $m$ in the equation: $251 = m - 8(5m - 7)$ .

Assumptions1. The equation is $251=m-8(5 m-7)$ . We need to solve for $m$

First, we need to distribute the $-8$ to both terms inside the parentheses.
$251 = m -8 \cdot5m +8 \cdot7$

implify the equation by performing the multiplication.
$251 = m -40m +56$

Combine like terms on the right side of the equation.
$251 = -39m +56$

To isolate $m$ , first move the constant term from the right side of the equation to the left side by subtracting $56$ from both sides.
$251 -56 = -39m$

Perform the subtraction on the left side of the equation.
$195 = -39m$

To solve for $m$ , divide both sides of the equation by $-39$ .
$m = \frac{195}{-39}$

Perform the division to find the value of $m$ .
$m = -5$ So, the solution to the equation $251=m-8(5 m-7)$ is $m = -5$ .