7(-7b+17)=-5(8b+9)-7

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Solution for 7(-7b+17)=-5(8b+9)-7 equation: 


Simplifying
7(-7b + 17) = -5(8b + 9) + -7

Reorder the terms:
7(17 + -7b) = -5(8b + 9) + -7
(17 * 7 + -7b * 7) = -5(8b + 9) + -7
(119 + -49b) = -5(8b + 9) + -7

Reorder the terms:
119 + -49b = -5(9 + 8b) + -7
119 + -49b = (9 * -5 + 8b * -5) + -7
119 + -49b = (-45 + -40b) + -7

Reorder the terms:
119 + -49b = -45 + -7 + -40b

Combine like terms: -45 + -7 = -52
119 + -49b = -52 + -40b

Solving
119 + -49b = -52 + -40b

Solving for variable 'b'.

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

Add '40b' to each side of the equation.
119 + -49b + 40b = -52 + -40b + 40b

Combine like terms: -49b + 40b = -9b
119 + -9b = -52 + -40b + 40b

Combine like terms: -40b + 40b = 0
119 + -9b = -52 + 0
119 + -9b = -52

Add '-119' to each side of the equation.
119 + -119 + -9b = -52 + -119

Combine like terms: 119 + -119 = 0
0 + -9b = -52 + -119
-9b = -52 + -119

Combine like terms: -52 + -119 = -171
-9b = -171

Divide each side by '-9'.
b = 19

Simplifying
b = 19

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