3(3-2b)+2=6b+83

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Solution for 3(3-2b)+2=6b+83 equation: 


Simplifying
3(3 + -2b) + 2 = 6b + 83
(3 * 3 + -2b * 3) + 2 = 6b + 83
(9 + -6b) + 2 = 6b + 83

Reorder the terms:
9 + 2 + -6b = 6b + 83

Combine like terms: 9 + 2 = 11
11 + -6b = 6b + 83

Reorder the terms:
11 + -6b = 83 + 6b

Solving
11 + -6b = 83 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
11 + -6b + -6b = 83 + 6b + -6b

Combine like terms: -6b + -6b = -12b
11 + -12b = 83 + 6b + -6b

Combine like terms: 6b + -6b = 0
11 + -12b = 83 + 0
11 + -12b = 83

Add '-11' to each side of the equation.
11 + -11 + -12b = 83 + -11

Combine like terms: 11 + -11 = 0
0 + -12b = 83 + -11
-12b = 83 + -11

Combine like terms: 83 + -11 = 72
-12b = 72

Divide each side by '-12'.
b = -6

Simplifying
b = -6

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