Solve for m 8-7/2m=-13

$8 - \frac{7}{2} m = - 13$

Step 1

Simplify each term.

Combine $m$ and $\frac{7}{2}$ .

$8 - \frac{m \cdot 7}{2} = - 13$

Move $7$ to the left of $m$ .

$8 - \frac{7 m}{2} = - 13$

Step 2

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

Subtract $8$ from both sides of the equation.

$- \frac{7 m}{2} = - 13 - 8$

Subtract $8$ from $- 13$ .

$- \frac{7 m}{2} = - 21$

Step 3

Multiply both sides of the equation by $- \frac{2}{7}$ .

$- \frac{2}{7} (- \frac{7 m}{2}) = - \frac{2}{7} \cdot - 21$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{2}{7} (- \frac{7 m}{2})$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{2}{7}$ into the numerator.

$\frac{- 2}{7} (- \frac{7 m}{2}) = - \frac{2}{7} \cdot - 21$

Move the leading negative in $- \frac{7 m}{2}$ into the numerator.

$\frac{- 2}{7} \cdot \frac{- 7 m}{2} = - \frac{2}{7} \cdot - 21$

Factor $2$ out of $- 2$ .

$\frac{2 (- 1)}{7} \cdot \frac{- 7 m}{2} = - \frac{2}{7} \cdot - 21$

Cancel the common factor.

$\frac{2 \cdot - 1}{7} \cdot \frac{- 7 m}{2} = - \frac{2}{7} \cdot - 21$

Rewrite the expression.

$\frac{- 1}{7} (- 7 m) = - \frac{2}{7} \cdot - 21$

Cancel the common factor of $7$ .

Factor $7$ out of $- 7 m$ .

$\frac{- 1}{7} (7 (- m)) = - \frac{2}{7} \cdot - 21$

Cancel the common factor.

$\frac{- 1}{7} (7 (- m)) = - \frac{2}{7} \cdot - 21$

Rewrite the expression.

$- - m = - \frac{2}{7} \cdot - 21$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 m = - \frac{2}{7} \cdot - 21$

Multiply $m$ by $1$ .

$m = - \frac{2}{7} \cdot - 21$

Simplify the right side.

Simplify $- \frac{2}{7} \cdot - 21$ .

Cancel the common factor of $7$ .

Move the leading negative in $- \frac{2}{7}$ into the numerator.

$m = \frac{- 2}{7} \cdot - 21$

Factor $7$ out of $- 21$ .

$m = \frac{- 2}{7} \cdot (7 (- 3))$

Cancel the common factor.

$m = \frac{- 2}{7} \cdot (7 \cdot - 3)$

Rewrite the expression.

$m = - 2 \cdot - 3$

Multiply $- 2$ by $- 3$ .

$m = 6$

Solve for m 8-7/2m=-13

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