-4b-6(2b-1)=-11(2b-12)

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Solution for -4b-6(2b-1)=-11(2b-12) equation:


Simplifying
-4b + -6(2b + -1) = -11(2b + -12)

Reorder the terms:
-4b + -6(-1 + 2b) = -11(2b + -12)
-4b + (-1 * -6 + 2b * -6) = -11(2b + -12)
-4b + (6 + -12b) = -11(2b + -12)

Reorder the terms:
6 + -4b + -12b = -11(2b + -12)

Combine like terms: -4b + -12b = -16b
6 + -16b = -11(2b + -12)

Reorder the terms:
6 + -16b = -11(-12 + 2b)
6 + -16b = (-12 * -11 + 2b * -11)
6 + -16b = (132 + -22b)

Solving
6 + -16b = 132 + -22b

Solving for variable 'b'.

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

Add '22b' to each side of the equation.
6 + -16b + 22b = 132 + -22b + 22b

Combine like terms: -16b + 22b = 6b
6 + 6b = 132 + -22b + 22b

Combine like terms: -22b + 22b = 0
6 + 6b = 132 + 0
6 + 6b = 132

Add '-6' to each side of the equation.
6 + -6 + 6b = 132 + -6

Combine like terms: 6 + -6 = 0
0 + 6b = 132 + -6
6b = 132 + -6

Combine like terms: 132 + -6 = 126
6b = 126

Divide each side by '6'.
b = 21

Simplifying
b = 21

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