Solve for r2 (7(r_1-r_2))/S=A

$\frac{7 (r_{1} - r_{2})}{S} = A$

Step 1

Multiply both sides by $S$ .

$\frac{7 (r_{1} - r_{2})}{S} S = A S$

Step 2

Simplify the left side.

Simplify $\frac{7 (r_{1} - r_{2})}{S} S$ .

Cancel the common factor of $S$ .

Cancel the common factor.

$\frac{7 (r_{1} - r_{2})}{S} S = A S$

Rewrite the expression.

$7 (r_{1} - r_{2}) = A S$

Apply the distributive property.

$7 r_{1} + 7 (- r_{2}) = A S$

Multiply $- 1$ by $7$ .

$7 r_{1} - 7 r_{2} = A S$

Step 3

Solve for $r_{1}$ .

Add $7 r_{2}$ to both sides of the equation.

$7 r_{1} = A S + 7 r_{2}$

Divide each term in $7 r_{1} = A S + 7 r_{2}$ by $7$ and simplify.

Divide each term in $7 r_{1} = A S + 7 r_{2}$ by $7$ .

$\frac{7 r_{1}}{7} = \frac{A S}{7} + \frac{7 r_{2}}{7}$

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{7 r_{1}}{7} = \frac{A S}{7} + \frac{7 r_{2}}{7}$

Divide $r_{1}$ by $1$ .

$r_{1} = \frac{A S}{7} + \frac{7 r_{2}}{7}$

Simplify the right side.

Cancel the common factor of $7$ .

Cancel the common factor.

$r_{1} = \frac{A S}{7} + \frac{7 r_{2}}{7}$

Divide $r_{2}$ by $1$ .

$r_{1} = \frac{A S}{7} + r_{2}$