Solve -12-21/2b-3b=12

$$- 12 - \frac { 21 } { 2 } b - 3 b = 12$$

Solve for b

$$b = -\frac{16}{9} = -1\frac{7}{9} \approx -1.777777778$$

Steps for Solving Linear Equation

Combine -\frac{21}{2}b and -3b to get -\frac{27}{2}b.

$$-12-\frac{27}{2}b=12$$

Add 12 to both sides.

$$-\frac{27}{2}b=12+12$$

Add 12 and 12 to get 24.

$$-\frac{27}{2}b=24$$

Multiply both sides by -\frac{2}{27}, the reciprocal of -\frac{27}{2}.

$$b=24\left(-\frac{2}{27}\right)$$

Express 24\left(-\frac{2}{27}\right) as a single fraction.

$$b=\frac{24\left(-2\right)}{27}$$

Multiply 24 and -2 to get -48.

$$b=\frac{-48}{27}$$

Reduce the fraction \frac{-48}{27} to lowest terms by extracting and canceling out 3.

$$b=-\frac{16}{9}$$