Solve for r2 (6(r_1-r_2))/s=A

$\frac{6 (r_{1} - r_{2})}{s} = A$

Multiply both sides by $s$ .

$\frac{6 (r_{1} - r_{2})}{s} s = A s$

Simplify the left side.

Simplify $\frac{6 (r_{1} - r_{2})}{s} s$ .

Cancel the common factor of $s$ .

Cancel the common factor.

$\frac{6 (r_{1} - r_{2})}{s} s = A s$

Rewrite the expression.

$6 (r_{1} - r_{2}) = A s$

Apply the distributive property.

$6 r_{1} + 6 (- r_{2}) = A s$

Multiply $- 1$ by $6$ .

$6 r_{1} - 6 r_{2} = A s$

Solve for $r_{1}$ .

Add $6 r_{2}$ to both sides of the equation.

$6 r_{1} = A s + 6 r_{2}$

Divide each term in $6 r_{1} = A s + 6 r_{2}$ by $6$ and simplify.

Divide each term in $6 r_{1} = A s + 6 r_{2}$ by $6$ .

$\frac{6 r_{1}}{6} = \frac{A s}{6} + \frac{6 r_{2}}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 r_{1}}{6} = \frac{A s}{6} + \frac{6 r_{2}}{6}$

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

$r_{1} = \frac{A s}{6} + \frac{6 r_{2}}{6}$

Simplify the right side.

Cancel the common factor of $6$ .

Cancel the common factor.

$r_{1} = \frac{A s}{6} + \frac{6 r_{2}}{6}$

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

$r_{1} = \frac{A s}{6} + r_{2}$