-(-2b-9)=12(b-7)-7

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Solution for -(-2b-9)=12(b-7)-7 equation: 


Simplifying
-1(-2b + -9) = 12(b + -7) + -7

Reorder the terms:
-1(-9 + -2b) = 12(b + -7) + -7
(-9 * -1 + -2b * -1) = 12(b + -7) + -7
(9 + 2b) = 12(b + -7) + -7

Reorder the terms:
9 + 2b = 12(-7 + b) + -7
9 + 2b = (-7 * 12 + b * 12) + -7
9 + 2b = (-84 + 12b) + -7

Reorder the terms:
9 + 2b = -84 + -7 + 12b

Combine like terms: -84 + -7 = -91
9 + 2b = -91 + 12b

Solving
9 + 2b = -91 + 12b

Solving for variable 'b'.

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

Add '-12b' to each side of the equation.
9 + 2b + -12b = -91 + 12b + -12b

Combine like terms: 2b + -12b = -10b
9 + -10b = -91 + 12b + -12b

Combine like terms: 12b + -12b = 0
9 + -10b = -91 + 0
9 + -10b = -91

Add '-9' to each side of the equation.
9 + -9 + -10b = -91 + -9

Combine like terms: 9 + -9 = 0
0 + -10b = -91 + -9
-10b = -91 + -9

Combine like terms: -91 + -9 = -100
-10b = -100

Divide each side by '-10'.
b = 10

Simplifying
b = 10

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