3(5-6b)-2b=4b-177

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Solution for 3(5-6b)-2b=4b-177 equation: 


Simplifying
3(5 + -6b) + -2b = 4b + -177
(5 * 3 + -6b * 3) + -2b = 4b + -177
(15 + -18b) + -2b = 4b + -177

Combine like terms: -18b + -2b = -20b
15 + -20b = 4b + -177

Reorder the terms:
15 + -20b = -177 + 4b

Solving
15 + -20b = -177 + 4b

Solving for variable 'b'.

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

Add '-4b' to each side of the equation.
15 + -20b + -4b = -177 + 4b + -4b

Combine like terms: -20b + -4b = -24b
15 + -24b = -177 + 4b + -4b

Combine like terms: 4b + -4b = 0
15 + -24b = -177 + 0
15 + -24b = -177

Add '-15' to each side of the equation.
15 + -15 + -24b = -177 + -15

Combine like terms: 15 + -15 = 0
0 + -24b = -177 + -15
-24b = -177 + -15

Combine like terms: -177 + -15 = -192
-24b = -192

Divide each side by '-24'.
b = 8

Simplifying
b = 8

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