Solve 8(-5b-8)+4(5b+4)=0

$$8 ( - 5 b - 8 ) + 4 ( 5 b + 4 ) = 0$$

Solve for b

$$b = -\frac{12}{5} = -2\frac{2}{5} = -2.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 8 by -5b-8.

$$-40b-64+4\left(5b+4\right)=0$$

Use the distributive property to multiply 4 by 5b+4.

$$-40b-64+20b+16=0$$

Combine -40b and 20b to get -20b.

$$-20b-64+16=0$$

Add -64 and 16 to get -48.

$$-20b-48=0$$

Add 48 to both sides. Anything plus zero gives itself.

$$-20b=48$$

Divide both sides by -20.

$$b=\frac{48}{-20}$$

Reduce the fraction \frac{48}{-20} to lowest terms by extracting and canceling out 4.

$$b=-\frac{12}{5}$$