Solve r-1/2=-7/10

$$r - \frac { 1 } { 2 } = - \frac { 7 } { 10 }$$

Solve for r

$$r=-\frac{1}{5}=-0.2$$

Steps for Solving Linear Equation

Add \frac{1}{2} to both sides.

$$r=-\frac{7}{10}+\frac{1}{2}$$

Least common multiple of 10 and 2 is 10. Convert -\frac{7}{10} and \frac{1}{2} to fractions with denominator 10.

$$r=-\frac{7}{10}+\frac{5}{10}$$

Since -\frac{7}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.

$$r=\frac{-7+5}{10}$$

Add -7 and 5 to get -2.

$$r=\frac{-2}{10}$$

Reduce the fraction \frac{-2}{10} to lowest terms by extracting and canceling out 2.

$$r=-\frac{1}{5}$$