12(b+12)+6=9(b+-2)+9b

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Solution for 12(b+12)+6=9(b+-2)+9b equation:


Simplifying
12(b + 12) + 6 = 9(b + -2) + 9b

Reorder the terms:
12(12 + b) + 6 = 9(b + -2) + 9b
(12 * 12 + b * 12) + 6 = 9(b + -2) + 9b
(144 + 12b) + 6 = 9(b + -2) + 9b

Reorder the terms:
144 + 6 + 12b = 9(b + -2) + 9b

Combine like terms: 144 + 6 = 150
150 + 12b = 9(b + -2) + 9b

Reorder the terms:
150 + 12b = 9(-2 + b) + 9b
150 + 12b = (-2 * 9 + b * 9) + 9b
150 + 12b = (-18 + 9b) + 9b

Combine like terms: 9b + 9b = 18b
150 + 12b = -18 + 18b

Solving
150 + 12b = -18 + 18b

Solving for variable 'b'.

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

Add '-18b' to each side of the equation.
150 + 12b + -18b = -18 + 18b + -18b

Combine like terms: 12b + -18b = -6b
150 + -6b = -18 + 18b + -18b

Combine like terms: 18b + -18b = 0
150 + -6b = -18 + 0
150 + -6b = -18

Add '-150' to each side of the equation.
150 + -150 + -6b = -18 + -150

Combine like terms: 150 + -150 = 0
0 + -6b = -18 + -150
-6b = -18 + -150

Combine like terms: -18 + -150 = -168
-6b = -168

Divide each side by '-6'.
b = 28

Simplifying
b = 28

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