Solve q=3/2r-4

$$q = \frac { 3 } { 2 } r - 4$$

Solve for r

$$r=\frac{2\left(q+4\right)}{3}$$

Steps for Solving Linear Equation

Swap sides so that all variable terms are on the left hand side.

$$\frac{3}{2}r-4=q$$

Add 4 to both sides.

$$\frac{3}{2}r=q+4$$

Divide both sides of the equation by \frac{3}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{3}{2}r}{\frac{3}{2}}=\frac{q+4}{\frac{3}{2}}$$

Dividing by \frac{3}{2} undoes the multiplication by \frac{3}{2}.

$$r=\frac{q+4}{\frac{3}{2}}$$

Divide q+4 by \frac{3}{2} by multiplying q+4 by the reciprocal of \frac{3}{2}.

$$r=\frac{2q+8}{3}$$

Solve for q

$$q=\frac{3r}{2}-4$$