Solve the Inequality for m 8m-4(-2m-2)<=-7m+3-8m

$8 m - 4 (- 2 m - 2) \leq - 7 m + 3 - 8 m$

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

Simplify each term.

Apply the distributive property.

$8 m - 4 (- 2 m) - 4 \cdot - 2 \leq - 7 m + 3 - 8 m$

Multiply $- 2$ by $- 4$ .

$8 m + 8 m - 4 \cdot - 2 \leq - 7 m + 3 - 8 m$

Multiply $- 4$ by $- 2$ .

$8 m + 8 m + 8 \leq - 7 m + 3 - 8 m$

Add $8 m$ and $8 m$ .

$16 m + 8 \leq - 7 m + 3 - 8 m$

Subtract $8 m$ from $- 7 m$ .

$16 m + 8 \leq - 15 m + 3$

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

Add $15 m$ to both sides of the inequality.

$16 m + 8 + 15 m \leq 3$

Add $16 m$ and $15 m$ .

$31 m + 8 \leq 3$

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

Subtract $8$ from both sides of the inequality.

$31 m \leq 3 - 8$

Subtract $8$ from $3$ .

$31 m \leq - 5$

Divide each term in $31 m \leq - 5$ by $31$ and simplify.

Divide each term in $31 m \leq - 5$ by $31$ .

$\frac{31 m}{31} \leq \frac{- 5}{31}$

Simplify the left side.

Cancel the common factor of $31$ .

Cancel the common factor.

$\frac{31 m}{31} \leq \frac{- 5}{31}$

Divide $m$ by $1$ .

$m \leq \frac{- 5}{31}$

Simplify the right side.

Move the negative in front of the fraction.

$m \leq - \frac{5}{31}$

The result can be shown in multiple forms.

Inequality Form:

$m \leq - \frac{5}{31}$

Interval Notation:

$(- \infty, - \frac{5}{31}]$