Solve 73/18=-2/3n+11/2

$$\frac { 73 } { 18 } = - \frac { 2 } { 3 } n + 1 \frac { 1 } { 2 }$$

Solve for n

$$n = -\frac{23}{6} = -3\frac{5}{6} \approx -3.833333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 18, the least common multiple of 18,3,2.

$$73=-12n+9\left(1\times 2+1\right)$$

Multiply 1 and 2 to get 2.

$$73=-12n+9\left(2+1\right)$$

Add 2 and 1 to get 3.

$$73=-12n+9\times 3$$

Multiply 9 and 3 to get 27.

$$73=-12n+27$$

Swap sides so that all variable terms are on the left hand side.

$$-12n+27=73$$

Subtract 27 from both sides.

$$-12n=73-27$$

Subtract 27 from 73 to get 46.

$$-12n=46$$

Divide both sides by -12.

$$n=\frac{46}{-12}$$

Reduce the fraction \frac{46}{-12} to lowest terms by extracting and canceling out 2.

$$n=-\frac{23}{6}$$