Solve -1/4(-16b-20)=-7b-16

$$- \frac { 1 } { 4 } ( - 16 b - 20 ) = - 7 b - 16$$

Solve for b

$$b = -\frac{21}{11} = -1\frac{10}{11} \approx -1.909090909$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{1}{4} by -16b-20.

$$-\frac{1}{4}\left(-16\right)b-\frac{1}{4}\left(-20\right)=-7b-16$$

Express -\frac{1}{4}\left(-16\right) as a single fraction.

$$\frac{-\left(-16\right)}{4}b-\frac{1}{4}\left(-20\right)=-7b-16$$

Multiply -1 and -16 to get 16.

$$\frac{16}{4}b-\frac{1}{4}\left(-20\right)=-7b-16$$

Divide 16 by 4 to get 4.

$$4b-\frac{1}{4}\left(-20\right)=-7b-16$$

Express -\frac{1}{4}\left(-20\right) as a single fraction.

$$4b+\frac{-\left(-20\right)}{4}=-7b-16$$

Multiply -1 and -20 to get 20.

$$4b+\frac{20}{4}=-7b-16$$

Divide 20 by 4 to get 5.

$$4b+5=-7b-16$$

Add 7b to both sides.

$$4b+5+7b=-16$$

Combine 4b and 7b to get 11b.

$$11b+5=-16$$

Subtract 5 from both sides.

$$11b=-16-5$$

Subtract 5 from -16 to get -21.

$$11b=-21$$

Divide both sides by 11.

$$b=\frac{-21}{11}$$

Fraction \frac{-21}{11} can be rewritten as -\frac{21}{11} by extracting the negative sign.

$$b=-\frac{21}{11}$$