-7(-7+7b)+5(b+5)=-b-6b

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Solution for -7(-7+7b)+5(b+5)=-b-6b equation:


Simplifying
-7(-7 + 7b) + 5(b + 5) = -1b + -6b
(-7 * -7 + 7b * -7) + 5(b + 5) = -1b + -6b
(49 + -49b) + 5(b + 5) = -1b + -6b

Reorder the terms:
49 + -49b + 5(5 + b) = -1b + -6b
49 + -49b + (5 * 5 + b * 5) = -1b + -6b
49 + -49b + (25 + 5b) = -1b + -6b

Reorder the terms:
49 + 25 + -49b + 5b = -1b + -6b

Combine like terms: 49 + 25 = 74
74 + -49b + 5b = -1b + -6b

Combine like terms: -49b + 5b = -44b
74 + -44b = -1b + -6b

Combine like terms: -1b + -6b = -7b
74 + -44b = -7b

Solving
74 + -44b = -7b

Solving for variable 'b'.

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

Add '7b' to each side of the equation.
74 + -44b + 7b = -7b + 7b

Combine like terms: -44b + 7b = -37b
74 + -37b = -7b + 7b

Combine like terms: -7b + 7b = 0
74 + -37b = 0

Add '-74' to each side of the equation.
74 + -74 + -37b = 0 + -74

Combine like terms: 74 + -74 = 0
0 + -37b = 0 + -74
-37b = 0 + -74

Combine like terms: 0 + -74 = -74
-37b = -74

Divide each side by '-37'.
b = 2

Simplifying
b = 2

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