Solve 144=42(w+20)--6

$$144 = 42 ( w + 20 ) - - 6$$

Solve for w

$$w = -\frac{117}{7} = -16\frac{5}{7} \approx -16.714285714$$

Steps for Solving Linear Equation

Use the distributive property to multiply 42 by w+20.

$$144=42w+840-\left(-6\right)$$

The opposite of -6 is 6.

$$144=42w+840+6$$

Add 840 and 6 to get 846.

$$144=42w+846$$

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

$$42w+846=144$$

Subtract 846 from both sides.

$$42w=144-846$$

Subtract 846 from 144 to get -702.

$$42w=-702$$

Divide both sides by 42.

$$w=\frac{-702}{42}$$

Reduce the fraction \frac{-702}{42} to lowest terms by extracting and canceling out 6.

$$w=-\frac{117}{7}$$