39=8(5b+5)+7(8b-7)

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Solution for 39=8(5b+5)+7(8b-7) equation:


Simplifying
39 = 8(5b + 5) + 7(8b + -7)

Reorder the terms:
39 = 8(5 + 5b) + 7(8b + -7)
39 = (5 * 8 + 5b * 8) + 7(8b + -7)
39 = (40 + 40b) + 7(8b + -7)

Reorder the terms:
39 = 40 + 40b + 7(-7 + 8b)
39 = 40 + 40b + (-7 * 7 + 8b * 7)
39 = 40 + 40b + (-49 + 56b)

Reorder the terms:
39 = 40 + -49 + 40b + 56b

Combine like terms: 40 + -49 = -9
39 = -9 + 40b + 56b

Combine like terms: 40b + 56b = 96b
39 = -9 + 96b

Solving
39 = -9 + 96b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-96b' to each side of the equation.
39 + -96b = -9 + 96b + -96b

Combine like terms: 96b + -96b = 0
39 + -96b = -9 + 0
39 + -96b = -9

Add '-39' to each side of the equation.
39 + -39 + -96b = -9 + -39

Combine like terms: 39 + -39 = 0
0 + -96b = -9 + -39
-96b = -9 + -39

Combine like terms: -9 + -39 = -48
-96b = -48

Divide each side by '-96'.
b = 0.5

Simplifying
b = 0.5

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