Solve 4=(-1/4)(-2)+b

$$4 = ( \frac { - 1 } { 4 } ) ( - 2 ) + b$$

Solve for b

$$b = \frac{7}{2} = 3\frac{1}{2} = 3.5$$

Steps for Solving Linear Equation

Fraction \frac{-1}{4} can be rewritten as -\frac{1}{4} by extracting the negative sign.

$$4=-\frac{1}{4}\left(-2\right)+b$$

Express -\frac{1}{4}\left(-2\right) as a single fraction.

$$4=\frac{-\left(-2\right)}{4}+b$$

Multiply -1 and -2 to get 2.

$$4=\frac{2}{4}+b$$

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

$$4=\frac{1}{2}+b$$

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

$$\frac{1}{2}+b=4$$

Subtract \frac{1}{2} from both sides.

$$b=4-\frac{1}{2}$$

Convert 4 to fraction \frac{8}{2}.

$$b=\frac{8}{2}-\frac{1}{2}$$

Since \frac{8}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$b=\frac{8-1}{2}$$

Subtract 1 from 8 to get 7.

$$b=\frac{7}{2}$$