8-7b=3(-4+5b)-2b

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Solution for 8-7b=3(-4+5b)-2b equation: 


Simplifying
8 + -7b = 3(-4 + 5b) + -2b
8 + -7b = (-4 * 3 + 5b * 3) + -2b
8 + -7b = (-12 + 15b) + -2b

Combine like terms: 15b + -2b = 13b
8 + -7b = -12 + 13b

Solving
8 + -7b = -12 + 13b

Solving for variable 'b'.

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

Add '-13b' to each side of the equation.
8 + -7b + -13b = -12 + 13b + -13b

Combine like terms: -7b + -13b = -20b
8 + -20b = -12 + 13b + -13b

Combine like terms: 13b + -13b = 0
8 + -20b = -12 + 0
8 + -20b = -12

Add '-8' to each side of the equation.
8 + -8 + -20b = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -20b = -12 + -8
-20b = -12 + -8

Combine like terms: -12 + -8 = -20
-20b = -20

Divide each side by '-20'.
b = 1

Simplifying
b = 1

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