Solve for a -7=5/6a

$- 7 = \frac{5}{6} a$

Step 1

Rewrite the equation as $\frac{5}{6} a = - 7$ .

$\frac{5}{6} a = - 7$

Step 2

Multiply both sides of the equation by $\frac{6}{5}$ .

$\frac{6}{5} (\frac{5}{6} a) = \frac{6}{5} \cdot - 7$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{6}{5} (\frac{5}{6} a)$ .

Combine $\frac{5}{6}$ and $a$ .

$\frac{6}{5} \cdot \frac{5 a}{6} = \frac{6}{5} \cdot - 7$

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6}{5} \cdot \frac{5 a}{6} = \frac{6}{5} \cdot - 7$

Rewrite the expression.

$\frac{1}{5} (5 a) = \frac{6}{5} \cdot - 7$

Cancel the common factor of $5$ .

Factor $5$ out of $5 a$ .

$\frac{1}{5} (5 (a)) = \frac{6}{5} \cdot - 7$

Cancel the common factor.

$\frac{1}{5} (5 a) = \frac{6}{5} \cdot - 7$

Rewrite the expression.

$a = \frac{6}{5} \cdot - 7$

Simplify the right side.

Simplify $\frac{6}{5} \cdot - 7$ .

Multiply $\frac{6}{5} \cdot - 7$ .

Combine $\frac{6}{5}$ and $- 7$ .

$a = \frac{6 \cdot - 7}{5}$

Multiply $6$ by $- 7$ .

$a = \frac{- 42}{5}$

Move the negative in front of the fraction.

$a = - \frac{42}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$a = - \frac{42}{5}$

Decimal Form:

$a = - 8.4$

Mixed Number Form:

$a = - 8 \frac{2}{5}$