Solve -2-(7k/1-6k)2

$$- 2 - ( \frac { 7 k } { 1 - 6 k } ) 2$$

Evaluate

$$-\frac{2\left(k+1\right)}{1-6k}$$

Short Solution Steps

Express \frac{7k}{1-6k}\times 2 as a single fraction.

$$-2-\frac{7k\times 2}{1-6k}$$

Multiply 7 and 2 to get 14.

$$-2-\frac{14k}{1-6k}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply -2 times \frac{1-6k}{1-6k}.

$$-\frac{2\left(1-6k\right)}{1-6k}-\frac{14k}{1-6k}$$

Since -\frac{2\left(1-6k\right)}{1-6k} and \frac{14k}{1-6k} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2\left(1-6k\right)-14k}{1-6k}$$

Do the multiplications in -2\left(1-6k\right)-14k.

$$\frac{-2+12k-14k}{1-6k}$$

Combine like terms in -2+12k-14k.

$$\frac{-2-2k}{1-6k}$$

Factor

$$-\frac{2\left(k+1\right)}{1-6k}$$