Question

Which of the following options is equivalent to the equation -74 + 56b = 8(7b - 10) + 6?

a) -74 + 56b = 56b - 80 + 6
b) -74 + 56b = 56b - 80 + 6b + 6
c) -74 + 56b = 56b - 80 + 8(7b - 10) + 6
d) -74 + 56b = 8(7b - 10) + 6b + 6

Answer 1

The equivalent expression for the given equation is -74 + 56b = 112b - 154.

Step-by-step explanation:

To find the equivalent expression for the given equation, let's simplify both sides of the equation.

-74 + 56b = 8(7b - 10) + 6

Start by distributing the 8 to the terms inside the parentheses:

-74 + 56b = 56b - 80 + 8(7b) + 8(-10) + 6

Next, simplify the right side further:

-74 + 56b = 56b - 80 + 56b - 80 + 6

Combine like terms on the right side:

-74 + 56b = 112b - 154

The equivalent expression for the given equation is -74 + 56b = 112b - 154.