6(11b+7)=8(6b-11)+5b

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Solution for 6(11b+7)=8(6b-11)+5b equation:


Simplifying
6(11b + 7) = 8(6b + -11) + 5b

Reorder the terms:
6(7 + 11b) = 8(6b + -11) + 5b
(7 * 6 + 11b * 6) = 8(6b + -11) + 5b
(42 + 66b) = 8(6b + -11) + 5b

Reorder the terms:
42 + 66b = 8(-11 + 6b) + 5b
42 + 66b = (-11 * 8 + 6b * 8) + 5b
42 + 66b = (-88 + 48b) + 5b

Combine like terms: 48b + 5b = 53b
42 + 66b = -88 + 53b

Solving
42 + 66b = -88 + 53b

Solving for variable 'b'.

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

Add '-53b' to each side of the equation.
42 + 66b + -53b = -88 + 53b + -53b

Combine like terms: 66b + -53b = 13b
42 + 13b = -88 + 53b + -53b

Combine like terms: 53b + -53b = 0
42 + 13b = -88 + 0
42 + 13b = -88

Add '-42' to each side of the equation.
42 + -42 + 13b = -88 + -42

Combine like terms: 42 + -42 = 0
0 + 13b = -88 + -42
13b = -88 + -42

Combine like terms: -88 + -42 = -130
13b = -130

Divide each side by '13'.
b = -10

Simplifying
b = -10

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