-3(b+3)=4(b-6)-6

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Solution for -3(b+3)=4(b-6)-6 equation:


Simplifying
-3(b + 3) = 4(b + -6) + -6

Reorder the terms:
-3(3 + b) = 4(b + -6) + -6
(3 * -3 + b * -3) = 4(b + -6) + -6
(-9 + -3b) = 4(b + -6) + -6

Reorder the terms:
-9 + -3b = 4(-6 + b) + -6
-9 + -3b = (-6 * 4 + b * 4) + -6
-9 + -3b = (-24 + 4b) + -6

Reorder the terms:
-9 + -3b = -24 + -6 + 4b

Combine like terms: -24 + -6 = -30
-9 + -3b = -30 + 4b

Solving
-9 + -3b = -30 + 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.
-9 + -3b + -4b = -30 + 4b + -4b

Combine like terms: -3b + -4b = -7b
-9 + -7b = -30 + 4b + -4b

Combine like terms: 4b + -4b = 0
-9 + -7b = -30 + 0
-9 + -7b = -30

Add '9' to each side of the equation.
-9 + 9 + -7b = -30 + 9

Combine like terms: -9 + 9 = 0
0 + -7b = -30 + 9
-7b = -30 + 9

Combine like terms: -30 + 9 = -21
-7b = -21

Divide each side by '-7'.
b = 3

Simplifying
b = 3

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