Solved on Feb 13, 2024

Solve for $m$ in the equation $2(-3 m-9)=54$ .

STEP 1

Assumptions
1. We have the equation $2(-3m - 9) = 54$ .
2. We need to solve for $m$ .

STEP 2

First, we need to distribute the $2$ across the terms inside the parentheses.
$2(-3m - 9) = 2 \times -3m + 2 \times -9$

STEP 3

Perform the multiplication.
$-6m - 18 = 54$

STEP 4

Next, we need to isolate the term with $m$ on one side of the equation. We can start by adding $18$ to both sides of the equation to move the constant term to the right side.
$-6m - 18 + 18 = 54 + 18$

STEP 5

Simplify both sides of the equation.
$-6m = 72$

STEP 6

Now, we need to solve for $m$ . To do this, we divide both sides of the equation by $-6$ .
$\frac{-6m}{-6} = \frac{72}{-6}$

STEP 7

Simplify both sides of the equation to find the value of $m$ .
$m = -12$
The solution to the equation $2(-3m - 9) = 54$ is $m = -12$ .

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Solve for $m$ in the equation $2(-3 m-9)=54$ .

STEP 1

Assumptions
1. We have the equation $2(-3m - 9) = 54$ .
2. We need to solve for $m$ .

STEP 2

First, we need to distribute the $2$ across the terms inside the parentheses.
$2(-3m - 9) = 2 \times -3m + 2 \times -9$

STEP 3

Perform the multiplication.
$-6m - 18 = 54$

STEP 4

Next, we need to isolate the term with $m$ on one side of the equation. We can start by adding $18$ to both sides of the equation to move the constant term to the right side.
$-6m - 18 + 18 = 54 + 18$

STEP 5

Simplify both sides of the equation.
$-6m = 72$

STEP 6

Now, we need to solve for $m$ . To do this, we divide both sides of the equation by $-6$ .
$\frac{-6m}{-6} = \frac{72}{-6}$

STEP 7

Simplify both sides of the equation to find the value of $m$ .
$m = -12$
The solution to the equation $2(-3m - 9) = 54$ is $m = -12$ .

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Solve for mmm in the equation 2(−3m−9)=542(-3 m-9)=542(−3m−9)=54.

STEP 1

Assumptions1. We have the equation 2(−3m−9)=542(-3m - 9) = 542(−3m−9)=54.2. We need to solve for mmm.

STEP 2

First, we need to distribute the 222 across the terms inside the parentheses.2(−3m−9)=2×−3m+2×−92(-3m - 9) = 2 \times -3m + 2 \times -92(−3m−9)=2×−3m+2×−9

STEP 3

Perform the multiplication.−6m−18=54-6m - 18 = 54−6m−18=54

STEP 4

Next, we need to isolate the term with mmm on one side of the equation. We can start by adding 181818 to both sides of the equation to move the constant term to the right side.−6m−18+18=54+18-6m - 18 + 18 = 54 + 18−6m−18+18=54+18

STEP 5

Simplify both sides of the equation.−6m=72-6m = 72−6m=72

STEP 6

Now, we need to solve for mmm. To do this, we divide both sides of the equation by −6-6−6.−6m−6=72−6\frac{-6m}{-6} = \frac{72}{-6}−6−6m​=−672​

STEP 7

Simplify both sides of the equation to find the value of mmm.m=−12m = -12m=−12The solution to the equation 2(−3m−9)=542(-3m - 9) = 542(−3m−9)=54 is m=−12m = -12m=−12.

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

Solve for $m$ in the equation $2(-3 m-9)=54$ .

Assumptions
1. We have the equation $2(-3m - 9) = 54$ .
2. We need to solve for $m$ .

First, we need to distribute the $2$ across the terms inside the parentheses.
$2(-3m - 9) = 2 \times -3m + 2 \times -9$

Perform the multiplication.
$-6m - 18 = 54$

Next, we need to isolate the term with $m$ on one side of the equation. We can start by adding $18$ to both sides of the equation to move the constant term to the right side.
$-6m - 18 + 18 = 54 + 18$

Simplify both sides of the equation.
$-6m = 72$

Now, we need to solve for $m$ . To do this, we divide both sides of the equation by $-6$ .
$\frac{-6m}{-6} = \frac{72}{-6}$

Simplify both sides of the equation to find the value of $m$ .
$m = -12$
The solution to the equation $2(-3m - 9) = 54$ is $m = -12$ .