Find All Complex Solutions -5(-2-8m)=10+5m

$- 5 (- 2 - 8 m) = 10 + 5 m$

Step 1

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

Rewrite.

$0 + 0 - 5 (- 2 - 8 m) = 10 + 5 m$

Simplify by adding zeros.

$- 5 (- 2 - 8 m) = 10 + 5 m$

Apply the distributive property.

$- 5 \cdot - 2 - 5 (- 8 m) = 10 + 5 m$

Multiply.

Multiply $- 5$ by $- 2$ .

$10 - 5 (- 8 m) = 10 + 5 m$

Multiply $- 8$ by $- 5$ .

$10 + 40 m = 10 + 5 m$

Step 2

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

Subtract $5 m$ from both sides of the equation.

$10 + 40 m - 5 m = 10$

Subtract $5 m$ from $40 m$ .

$10 + 35 m = 10$

Step 3

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

Subtract $10$ from both sides of the equation.

$35 m = 10 - 10$

Subtract $10$ from $10$ .

$35 m = 0$

Step 4

Divide each term in $35 m = 0$ by $35$ and simplify.

Divide each term in $35 m = 0$ by $35$ .

$\frac{35 m}{35} = \frac{0}{35}$

Simplify the left side.

Cancel the common factor of $35$ .

Cancel the common factor.

$\frac{35 m}{35} = \frac{0}{35}$

Divide $m$ by $1$ .

$m = \frac{0}{35}$

Simplify the right side.

Divide $0$ by $35$ .

$m = 0$