Solve for m -m-7/8=-10

$- m - \frac{7}{8} = - 10$

Step 1

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

Add $\frac{7}{8}$ to both sides of the equation.

$- m = - 10 + \frac{7}{8}$

To write $- 10$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$- m = - 10 \cdot \frac{8}{8} + \frac{7}{8}$

Combine $- 10$ and $\frac{8}{8}$ .

$- m = \frac{- 10 \cdot 8}{8} + \frac{7}{8}$

Combine the numerators over the common denominator.

$- m = \frac{- 10 \cdot 8 + 7}{8}$

Simplify the numerator.

Multiply $- 10$ by $8$ .

$- m = \frac{- 80 + 7}{8}$

Add $- 80$ and $7$ .

$- m = \frac{- 73}{8}$

Move the negative in front of the fraction.

$- m = - \frac{73}{8}$

Step 2

Divide each term in $- m = - \frac{73}{8}$ by $- 1$ and simplify.

Divide each term in $- m = - \frac{73}{8}$ by $- 1$ .

$\frac{- m}{- 1} = \frac{- \frac{73}{8}}{- 1}$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{m}{1} = \frac{- \frac{73}{8}}{- 1}$

Divide $m$ by $1$ .

$m = \frac{- \frac{73}{8}}{- 1}$

Simplify the right side.

Dividing two negative values results in a positive value.

$m = \frac{\frac{73}{8}}{1}$

Divide $\frac{73}{8}$ by $1$ .

$m = \frac{73}{8}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$m = \frac{73}{8}$

Decimal Form:

$m = 9.125$

Mixed Number Form:

$m = 9 \frac{1}{8}$