Solve 14.4=4.2(w+20)--6

$$14.4 = 4.2 ( w + 20 ) - - 6$$

Solve for w

$$w=-18$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4.2 by w+20.

$$14.4=4.2w+84-\left(-6\right)$$

The opposite of -6 is 6.

$$14.4=4.2w+84+6$$

Add 84 and 6 to get 90.

$$14.4=4.2w+90$$

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

$$4.2w+90=14.4$$

Subtract 90 from both sides.

$$4.2w=14.4-90$$

Subtract 90 from 14.4 to get -75.6.

$$4.2w=-75.6$$

Divide both sides by 4.2.

$$w=\frac{-75.6}{4.2}$$

Expand \frac{-75.6}{4.2} by multiplying both numerator and the denominator by 10.

$$w=\frac{-756}{42}$$

Divide -756 by 42 to get -18.

$$w=-18$$