Solve 1.32+0.2r=1.1+0.5r

$$1.32+0.2r = 1.1+0.5r$$

Solve for r

$$r=\frac{11}{15}\approx 0.733333333$$

Steps for Solving Linear Equation

Subtract 0.5r from both sides.

$$1.32+0.2r-0.5r=1.1$$

Combine 0.2r and -0.5r to get -0.3r.

$$1.32-0.3r=1.1$$

Subtract 1.32 from both sides.

$$-0.3r=1.1-1.32$$

Subtract 1.32 from 1.1 to get -0.22.

$$-0.3r=-0.22$$

Divide both sides by -0.3.

$$r=\frac{-0.22}{-0.3}$$

Expand \frac{-0.22}{-0.3} by multiplying both numerator and the denominator by 100.

$$r=\frac{-22}{-30}$$

Reduce the fraction \frac{-22}{-30} to lowest terms by extracting and canceling out -2.

$$r=\frac{11}{15}$$