6b+3(-6-11b)=3(-2-7b)

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Solution for 6b+3(-6-11b)=3(-2-7b) equation:


Simplifying
6b + 3(-6 + -11b) = 3(-2 + -7b)
6b + (-6 * 3 + -11b * 3) = 3(-2 + -7b)
6b + (-18 + -33b) = 3(-2 + -7b)

Reorder the terms:
-18 + 6b + -33b = 3(-2 + -7b)

Combine like terms: 6b + -33b = -27b
-18 + -27b = 3(-2 + -7b)
-18 + -27b = (-2 * 3 + -7b * 3)
-18 + -27b = (-6 + -21b)

Solving
-18 + -27b = -6 + -21b

Solving for variable 'b'.

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

Add '21b' to each side of the equation.
-18 + -27b + 21b = -6 + -21b + 21b

Combine like terms: -27b + 21b = -6b
-18 + -6b = -6 + -21b + 21b

Combine like terms: -21b + 21b = 0
-18 + -6b = -6 + 0
-18 + -6b = -6

Add '18' to each side of the equation.
-18 + 18 + -6b = -6 + 18

Combine like terms: -18 + 18 = 0
0 + -6b = -6 + 18
-6b = -6 + 18

Combine like terms: -6 + 18 = 12
-6b = 12

Divide each side by '-6'.
b = -2

Simplifying
b = -2

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