Solve 4(0.5-w)=-18

$$4 ( 0.5 - w ) = - 18$$

Solve for w

$$w=5$$

Steps for Solving Linear Equation

Divide both sides by 4.

$$0.5-w=\frac{-18}{4}$$

Reduce the fraction \frac{-18}{4} to lowest terms by extracting and canceling out 2.

$$0.5-w=-\frac{9}{2}$$

Subtract 0.5 from both sides.

$$-w=-\frac{9}{2}-0.5$$

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$-w=-\frac{9}{2}-\frac{1}{2}$$

Since -\frac{9}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$-w=\frac{-9-1}{2}$$

Subtract 1 from -9 to get -10.

$$-w=\frac{-10}{2}$$

Divide -10 by 2 to get -5.

$$-w=-5$$

Multiply both sides by -1.

$$w=5$$