(18b-11)+(9b+2)=180

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Solution for (18b-11)+(9b+2)=180 equation:


Simplifying
(18b + -11) + (9b + 2) = 180

Reorder the terms:
(-11 + 18b) + (9b + 2) = 180

Remove parenthesis around (-11 + 18b)
-11 + 18b + (9b + 2) = 180

Reorder the terms:
-11 + 18b + (2 + 9b) = 180

Remove parenthesis around (2 + 9b)
-11 + 18b + 2 + 9b = 180

Reorder the terms:
-11 + 2 + 18b + 9b = 180

Combine like terms: -11 + 2 = -9
-9 + 18b + 9b = 180

Combine like terms: 18b + 9b = 27b
-9 + 27b = 180

Solving
-9 + 27b = 180

Solving for variable 'b'.

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

Add '9' to each side of the equation.
-9 + 9 + 27b = 180 + 9

Combine like terms: -9 + 9 = 0
0 + 27b = 180 + 9
27b = 180 + 9

Combine like terms: 180 + 9 = 189
27b = 189

Divide each side by '27'.
b = 7

Simplifying
b = 7

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