Solve for m 6(1+3m)=-8(-2m+5)-4

$6 (1 + 3 m) = - 8 (- 2 m + 5) - 4$

Step 1

Simplify $6 (1 + 3 m)$ .

Rewrite.

$0 + 0 + 6 (1 + 3 m) = - 8 (- 2 m + 5) - 4$

Simplify by adding zeros.

$6 (1 + 3 m) = - 8 (- 2 m + 5) - 4$

Apply the distributive property.

$6 \cdot 1 + 6 (3 m) = - 8 (- 2 m + 5) - 4$

Multiply.

Multiply $6$ by $1$ .

$6 + 6 (3 m) = - 8 (- 2 m + 5) - 4$

Multiply $3$ by $6$ .

$6 + 18 m = - 8 (- 2 m + 5) - 4$

Step 2

Simplify $- 8 (- 2 m + 5) - 4$ .

Simplify each term.

Apply the distributive property.

$6 + 18 m = - 8 (- 2 m) - 8 \cdot 5 - 4$

Multiply $- 2$ by $- 8$ .

$6 + 18 m = 16 m - 8 \cdot 5 - 4$

Multiply $- 8$ by $5$ .

$6 + 18 m = 16 m - 40 - 4$

Subtract $4$ from $- 40$ .

$6 + 18 m = 16 m - 44$

Step 3

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

Subtract $16 m$ from both sides of the equation.

$6 + 18 m - 16 m = - 44$

Subtract $16 m$ from $18 m$ .

$6 + 2 m = - 44$

Step 4

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

Subtract $6$ from both sides of the equation.

$2 m = - 44 - 6$

Subtract $6$ from $- 44$ .

$2 m = - 50$

Step 5

Divide each term in $2 m = - 50$ by $2$ and simplify.

Divide each term in $2 m = - 50$ by $2$ .

$\frac{2 m}{2} = \frac{- 50}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 m}{2} = \frac{- 50}{2}$

Divide $m$ by $1$ .

$m = \frac{- 50}{2}$

Simplify the right side.

Divide $- 50$ by $2$ .

$m = - 25$

Solve for m 6(1+3m)=-8(-2m+5)-4

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