6b-3(1+11b)=12b+11(-2b-8)

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Solution for 6b-3(1+11b)=12b+11(-2b-8) equation:


Simplifying
6b + -3(1 + 11b) = 12b + 11(-2b + -8)
6b + (1 * -3 + 11b * -3) = 12b + 11(-2b + -8)
6b + (-3 + -33b) = 12b + 11(-2b + -8)

Reorder the terms:
-3 + 6b + -33b = 12b + 11(-2b + -8)

Combine like terms: 6b + -33b = -27b
-3 + -27b = 12b + 11(-2b + -8)

Reorder the terms:
-3 + -27b = 12b + 11(-8 + -2b)
-3 + -27b = 12b + (-8 * 11 + -2b * 11)
-3 + -27b = 12b + (-88 + -22b)

Reorder the terms:
-3 + -27b = -88 + 12b + -22b

Combine like terms: 12b + -22b = -10b
-3 + -27b = -88 + -10b

Solving
-3 + -27b = -88 + -10b

Solving for variable 'b'.

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

Add '10b' to each side of the equation.
-3 + -27b + 10b = -88 + -10b + 10b

Combine like terms: -27b + 10b = -17b
-3 + -17b = -88 + -10b + 10b

Combine like terms: -10b + 10b = 0
-3 + -17b = -88 + 0
-3 + -17b = -88

Add '3' to each side of the equation.
-3 + 3 + -17b = -88 + 3

Combine like terms: -3 + 3 = 0
0 + -17b = -88 + 3
-17b = -88 + 3

Combine like terms: -88 + 3 = -85
-17b = -85

Divide each side by '-17'.
b = 5

Simplifying
b = 5

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