Solve for m -7(1-4m)=13(2m-3)

$- 7 (1 - 4 m) = 13 (2 m - 3)$

Step 1

Simplify $- 7 (1 - 4 m)$ .

Rewrite.

$0 + 0 - 7 (1 - 4 m) = 13 (2 m - 3)$

Simplify by adding zeros.

$- 7 (1 - 4 m) = 13 (2 m - 3)$

Apply the distributive property.

$- 7 \cdot 1 - 7 (- 4 m) = 13 (2 m - 3)$

Multiply.

Multiply $- 7$ by $1$ .

$- 7 - 7 (- 4 m) = 13 (2 m - 3)$

Multiply $- 4$ by $- 7$ .

$- 7 + 28 m = 13 (2 m - 3)$

Step 2

Simplify $13 (2 m - 3)$ .

Apply the distributive property.

$- 7 + 28 m = 13 (2 m) + 13 \cdot - 3$

Multiply.

Multiply $2$ by $13$ .

$- 7 + 28 m = 26 m + 13 \cdot - 3$

Multiply $13$ by $- 3$ .

$- 7 + 28 m = 26 m - 39$

Step 3

Move all terms containing $m$ to the left side of the equation.

Subtract $26 m$ from both sides of the equation.

$- 7 + 28 m - 26 m = - 39$

Subtract $26 m$ from $28 m$ .

$- 7 + 2 m = - 39$

Step 4

Move all terms not containing $m$ to the right side of the equation.

Add $7$ to both sides of the equation.

$2 m = - 39 + 7$

Add $- 39$ and $7$ .

$2 m = - 32$

Step 5

Divide each term in $2 m = - 32$ by $2$ and simplify.

Divide each term in $2 m = - 32$ by $2$ .

$\frac{2 m}{2} = \frac{- 32}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 m}{2} = \frac{- 32}{2}$

Divide $m$ by $1$ .

$m = \frac{- 32}{2}$

Simplify the right side.

Divide $- 32$ by $2$ .

$m = - 16$

Solve for m -7(1-4m)=13(2m-3)

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