(5-2b)+6=(3b-45)-9

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Solution for (5-2b)+6=(3b-45)-9 equation: 


Simplifying
(5 + -2b) + 6 = (3b + -45) + -9

Remove parenthesis around (5 + -2b)
5 + -2b + 6 = (3b + -45) + -9

Reorder the terms:
5 + 6 + -2b = (3b + -45) + -9

Combine like terms: 5 + 6 = 11
11 + -2b = (3b + -45) + -9

Reorder the terms:
11 + -2b = (-45 + 3b) + -9

Remove parenthesis around (-45 + 3b)
11 + -2b = -45 + 3b + -9

Reorder the terms:
11 + -2b = -45 + -9 + 3b

Combine like terms: -45 + -9 = -54
11 + -2b = -54 + 3b

Solving
11 + -2b = -54 + 3b

Solving for variable 'b'.

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

Add '-3b' to each side of the equation.
11 + -2b + -3b = -54 + 3b + -3b

Combine like terms: -2b + -3b = -5b
11 + -5b = -54 + 3b + -3b

Combine like terms: 3b + -3b = 0
11 + -5b = -54 + 0
11 + -5b = -54

Add '-11' to each side of the equation.
11 + -11 + -5b = -54 + -11

Combine like terms: 11 + -11 = 0
0 + -5b = -54 + -11
-5b = -54 + -11

Combine like terms: -54 + -11 = -65
-5b = -65

Divide each side by '-5'.
b = 13

Simplifying
b = 13

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