Solve 375=25/2[-12+24d]

$$375 = \frac { 25 } { 2 } [ - 12 + 24 d ]$$

Solve for d

$$d = \frac{7}{4} = 1\frac{3}{4} = 1.75$$

Steps for Solving Linear Equation

Multiply both sides by \frac{2}{25}, the reciprocal of \frac{25}{2}.

$$375\times \frac{2}{25}=-12+24d$$

Express 375\times \frac{2}{25} as a single fraction.

$$\frac{375\times 2}{25}=-12+24d$$

Multiply 375 and 2 to get 750.

$$\frac{750}{25}=-12+24d$$

Divide 750 by 25 to get 30.

$$30=-12+24d$$

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

$$-12+24d=30$$

Add 12 to both sides.

$$24d=30+12$$

Add 30 and 12 to get 42.

$$24d=42$$

Divide both sides by 24.

$$d=\frac{42}{24}$$

Reduce the fraction \frac{42}{24} to lowest terms by extracting and canceling out 6.

$$d=\frac{7}{4}$$