Solve for a -7/4a=28

$- \frac{7}{4} a = 28$

Step 1

Multiply both sides of the equation by $- \frac{4}{7}$ .

$- \frac{4}{7} (- \frac{7}{4} a) = - \frac{4}{7} \cdot 28$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Simplify $- \frac{4}{7} (- \frac{7}{4} a)$ .

Combine $a$ and $\frac{7}{4}$ .

$- \frac{4}{7} (- \frac{a \cdot 7}{4}) = - \frac{4}{7} \cdot 28$

Cancel the common factor of $4$ .

Move the leading negative in $- \frac{4}{7}$ into the numerator.

$\frac{- 4}{7} (- \frac{a \cdot 7}{4}) = - \frac{4}{7} \cdot 28$

Move the leading negative in $- \frac{a \cdot 7}{4}$ into the numerator.

$\frac{- 4}{7} \cdot \frac{- a \cdot 7}{4} = - \frac{4}{7} \cdot 28$

Factor $4$ out of $- 4$ .

$\frac{4 (- 1)}{7} \cdot \frac{- a \cdot 7}{4} = - \frac{4}{7} \cdot 28$

Cancel the common factor.

$\frac{4 \cdot - 1}{7} \cdot \frac{- a \cdot 7}{4} = - \frac{4}{7} \cdot 28$

Rewrite the expression.

$\frac{- 1}{7} (- a \cdot 7) = - \frac{4}{7} \cdot 28$

Cancel the common factor of $7$ .

Factor $7$ out of $- a \cdot 7$ .

$\frac{- 1}{7} (7 \cdot (- a)) = - \frac{4}{7} \cdot 28$

Cancel the common factor.

$\frac{- 1}{7} (7 \cdot (- a)) = - \frac{4}{7} \cdot 28$

Rewrite the expression.

$- - a = - \frac{4}{7} \cdot 28$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 a = - \frac{4}{7} \cdot 28$

Multiply $a$ by $1$ .

$a = - \frac{4}{7} \cdot 28$

Simplify the right side.

Simplify $- \frac{4}{7} \cdot 28$ .

Cancel the common factor of $7$ .

Move the leading negative in $- \frac{4}{7}$ into the numerator.

$a = \frac{- 4}{7} \cdot 28$

Factor $7$ out of $28$ .

$a = \frac{- 4}{7} \cdot (7 (4))$

Cancel the common factor.

$a = \frac{- 4}{7} \cdot (7 \cdot 4)$

Rewrite the expression.

$a = - 4 \cdot 4$

Multiply $- 4$ by $4$ .

$a = - 16$