Solve 3u_{n}-1-1/2

$$3 u _ { n } - 1 - \frac { 1 } { 2 }$$

Evaluate

$$3u_{n}-\frac{3}{2}$$

Solution Steps

Convert -1 to fraction -\frac{2}{2}.

$$3u_{n}-\frac{2}{2}-\frac{1}{2}$$

Since -\frac{2}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from -2 to get -3.

$$3u_{n}-\frac{3}{2}$$

Factor

$$\frac{3\left(2u_{n}-1\right)}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{6u_{n}-3}{2}$$

Consider 6u_{n}-2-1. Multiply and combine like terms.

$$6u_{n}-3$$

Consider 6u_{n}-3. Factor out 3.

$$3\left(2u_{n}-1\right)$$

Rewrite the complete factored expression.

$$\frac{3\left(2u_{n}-1\right)}{2}$$