Solve for s p=(3(s+100))/4

$p = \frac{3 (s + 100)}{4}$

Step 1

Rewrite the equation as $\frac{3 (s + 100)}{4} = p$ .

$\frac{3 (s + 100)}{4} = p$

Step 2

Multiply both sides of the equation by $\frac{4}{3}$ .

$\frac{4}{3} \cdot \frac{3 (s + 100)}{4} = \frac{4}{3} p$

Step 3

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{4}{3} \cdot \frac{3 (s + 100)}{4}$ .

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4}{3} \cdot \frac{3 (s + 100)}{4} = \frac{4}{3} p$

Rewrite the expression.

$\frac{1}{3} (3 (s + 100)) = \frac{4}{3} p$

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{1}{3} (3 (s + 100)) = \frac{4}{3} p$

Rewrite the expression.

$s + 100 = \frac{4}{3} p$

Simplify the right side.

Combine $\frac{4}{3}$ and $p$ .

$s + 100 = \frac{4 p}{3}$

Step 4

Subtract $100$ from both sides of the equation.

$s = \frac{4 p}{3} - 100$