Solve 3/2(10-4d)=-27

$$\frac { 3 } { 2 } ( 10 - 4 d ) = - 27$$

Solve for d

$$d=7$$

Steps for Solving Linear Equation

Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.

$$10-4d=-27\times \frac{2}{3}$$

Express -27\times \frac{2}{3} as a single fraction.

$$10-4d=\frac{-27\times 2}{3}$$

Multiply -27 and 2 to get -54.

$$10-4d=\frac{-54}{3}$$

Divide -54 by 3 to get -18.

$$10-4d=-18$$

Subtract 10 from both sides.

$$-4d=-18-10$$

Subtract 10 from -18 to get -28.

$$-4d=-28$$

Divide both sides by -4.

$$d=\frac{-28}{-4}$$

Divide -28 by -4 to get 7.

$$d=7$$