How do you solve 7( 8- 8b ) = - 1127(88b)=112?

1 Answer
Jun 13, 2018

b = 3b=3

Explanation:

7(8-8b) = -1127(88b)=112

First, use the distributive property (shown below) to simplify 7(8-8b)7(88b):
cdn.virtualnerd.com

Following this image, we know that:
color(blue)(7(8-8b) = (7 * 8) + (7 * -8b) = 56 - 56b)7(88b)=(78)+(78b)=5656b

Put that back into the equation:
56 - 56b = -1125656b=112

Now subtract color(blue)(56)56 from both sides of the equation:
56 - 56b quadcolor(blue)(-quad56) = -112 quadcolor(blue)(-quad56)

-56b = -168

Divide both sides by color(blue)(-56):
(-56b)/color(blue)(-56) = (-168)/color(blue)(-56)

Therefore,
b = 3

Hope this helps!