Solve for m 8(4-5m)=-4(6+8m)

$8 (4 - 5 m) = - 4 (6 + 8 m)$

Step 1

Simplify $8 (4 - 5 m)$ .

Rewrite.

$0 + 0 + 8 (4 - 5 m) = - 4 (6 + 8 m)$

Simplify by adding zeros.

$8 (4 - 5 m) = - 4 (6 + 8 m)$

Apply the distributive property.

$8 \cdot 4 + 8 (- 5 m) = - 4 (6 + 8 m)$

Multiply.

Multiply $8$ by $4$ .

$32 + 8 (- 5 m) = - 4 (6 + 8 m)$

Multiply $- 5$ by $8$ .

$32 - 40 m = - 4 (6 + 8 m)$

Step 2

Simplify $- 4 (6 + 8 m)$ .

Apply the distributive property.

$32 - 40 m = - 4 \cdot 6 - 4 (8 m)$

Multiply.

Multiply $- 4$ by $6$ .

$32 - 40 m = - 24 - 4 (8 m)$

Multiply $8$ by $- 4$ .

$32 - 40 m = - 24 - 32 m$

Step 3

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

Add $32 m$ to both sides of the equation.

$32 - 40 m + 32 m = - 24$

Add $- 40 m$ and $32 m$ .

$32 - 8 m = - 24$

Step 4

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

Subtract $32$ from both sides of the equation.

$- 8 m = - 24 - 32$

Subtract $32$ from $- 24$ .

$- 8 m = - 56$

Step 5

Divide each term in $- 8 m = - 56$ by $- 8$ and simplify.

Divide each term in $- 8 m = - 56$ by $- 8$ .

$\frac{- 8 m}{- 8} = \frac{- 56}{- 8}$

Simplify the left side.

Cancel the common factor of $- 8$ .

Cancel the common factor.

$\frac{- 8 m}{- 8} = \frac{- 56}{- 8}$

Divide $m$ by $1$ .

$m = \frac{- 56}{- 8}$

Simplify the right side.

Divide $- 56$ by $- 8$ .

$m = 7$

Solve for m 8(4-5m)=-4(6+8m)

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