Solve 15(-8-2a)=3(-8+a)

$$15 ( - 8 - 2 a ) = 3 ( - 8 + a )$$

Solve for a

$$a = -\frac{32}{11} = -2\frac{10}{11} \approx -2.909090909$$

Steps for Solving Linear Equation

Use the distributive property to multiply 15 by -8-2a.

$$-120-30a=3\left(-8+a\right)$$

Use the distributive property to multiply 3 by -8+a.

$$-120-30a=-24+3a$$

Subtract 3a from both sides.

$$-120-30a-3a=-24$$

Combine -30a and -3a to get -33a.

$$-120-33a=-24$$

Add 120 to both sides.

$$-33a=-24+120$$

Add -24 and 120 to get 96.

$$-33a=96$$

Divide both sides by -33.

$$a=\frac{96}{-33}$$

Reduce the fraction \frac{96}{-33} to lowest terms by extracting and canceling out 3.

$$a=-\frac{32}{11}$$