Solve for a a/-3-2=6

$\frac{a}{- 3} - 2 = 6$

Step 1

Move the negative in front of the fraction.

$- \frac{a}{3} - 2 = 6$

Step 2

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

Add $2$ to both sides of the equation.

$- \frac{a}{3} = 6 + 2$

Add $6$ and $2$ .

$- \frac{a}{3} = 8$

Step 3

Multiply both sides of the equation by $- 3$ .

$- 3 (- \frac{a}{3}) = - 3 \cdot 8$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 3 (- \frac{a}{3})$ .

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{a}{3}$ into the numerator.

$- 3 \frac{- a}{3} = - 3 \cdot 8$

Factor $3$ out of $- 3$ .

$3 (- 1) \frac{- a}{3} = - 3 \cdot 8$

Cancel the common factor.

$3 \cdot - 1 \frac{- a}{3} = - 3 \cdot 8$

Rewrite the expression.

$- - a = - 3 \cdot 8$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 a = - 3 \cdot 8$

Multiply $a$ by $1$ .

$a = - 3 \cdot 8$

Simplify the right side.

Multiply $- 3$ by $8$ .

$a = - 24$