Solve 1/2+n=-5/14

$$\frac { 1 } { 2 } + n = - \frac { 5 } { 14 }$$

Solve for n

$$n=-\frac{6}{7}\approx -0.857142857$$

Steps for Solving Linear Equation

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

$$n=-\frac{5}{14}-\frac{1}{2}$$

Least common multiple of 14 and 2 is 14. Convert -\frac{5}{14} and \frac{1}{2} to fractions with denominator 14.

$$n=-\frac{5}{14}-\frac{7}{14}$$

Since -\frac{5}{14} and \frac{7}{14} have the same denominator, subtract them by subtracting their numerators.

$$n=\frac{-5-7}{14}$$

Subtract 7 from -5 to get -12.

$$n=\frac{-12}{14}$$

Reduce the fraction \frac{-12}{14} to lowest terms by extracting and canceling out 2.

$$n=-\frac{6}{7}$$