Solve n+1/2=-3/10

$$n + \frac { 1 } { 2 } = \frac { - 3 } { 10 }$$

Solve for n

$$n=-\frac{4}{5}=-0.8$$

Steps for Solving Linear Equation

Fraction \frac{-3}{10} can be rewritten as -\frac{3}{10} by extracting the negative sign.

$$n+\frac{1}{2}=-\frac{3}{10}$$

Subtract \frac{1}{2} from both sides.

$$n=-\frac{3}{10}-\frac{1}{2}$$

Least common multiple of 10 and 2 is 10. Convert -\frac{3}{10} and \frac{1}{2} to fractions with denominator 10.

$$n=-\frac{3}{10}-\frac{5}{10}$$

Since -\frac{3}{10} and \frac{5}{10} have the same denominator, subtract them by subtracting their numerators.

$$n=\frac{-3-5}{10}$$

Subtract 5 from -3 to get -8.

$$n=\frac{-8}{10}$$

Reduce the fraction \frac{-8}{10} to lowest terms by extracting and canceling out 2.

$$n=-\frac{4}{5}$$