Solve for b -b/5-27=-21

$- \frac{b}{5} - 27 = - 21$

Step 1

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

Add $27$ to both sides of the equation.

$- \frac{b}{5} = - 21 + 27$

Add $- 21$ and $27$ .

$- \frac{b}{5} = 6$

Step 2

Multiply both sides of the equation by $- 5$ .

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

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $- 5 (- \frac{b}{5})$ .

Cancel the common factor of $5$ .

Move the leading negative in $- \frac{b}{5}$ into the numerator.

$- 5 \frac{- b}{5} = - 5 \cdot 6$

Factor $5$ out of $- 5$ .

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

Cancel the common factor.

$5 \cdot - 1 \frac{- b}{5} = - 5 \cdot 6$

Rewrite the expression.

$- - b = - 5 \cdot 6$

Multiply.

Multiply $- 1$ by $- 1$ .

$1 b = - 5 \cdot 6$

Multiply $b$ by $1$ .

$b = - 5 \cdot 6$

Simplify the right side.

Multiply $- 5$ by $6$ .

$b = - 30$