Solve 2/3(1+n)=-1/2n

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

Solve for n

$$n=-\frac{4}{7}\approx -0.571428571$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{2}{3} by 1+n.

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

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

$$\frac{2}{3}+\frac{2}{3}n+\frac{1}{2}n=0$$

Combine \frac{2}{3}n and \frac{1}{2}n to get \frac{7}{6}n.

$$\frac{2}{3}+\frac{7}{6}n=0$$

Subtract \frac{2}{3} from both sides. Anything subtracted from zero gives its negation.

$$\frac{7}{6}n=-\frac{2}{3}$$

Multiply both sides by \frac{6}{7}, the reciprocal of \frac{7}{6}.

$$n=-\frac{2}{3}\times \frac{6}{7}$$

Multiply -\frac{2}{3} times \frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$n=\frac{-2\times 6}{3\times 7}$$

Do the multiplications in the fraction \frac{-2\times 6}{3\times 7}.

$$n=\frac{-12}{21}$$

Reduce the fraction \frac{-12}{21} to lowest terms by extracting and canceling out 3.

$$n=-\frac{4}{7}$$