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Simplifying b + 12 + (6b + -9) + (2b + -12) = 180 Reorder the terms: b + 12 + (-9 + 6b) + (2b + -12) = 180 Remove parenthesis around (-9 + 6b) b + 12 + -9 + 6b + (2b + -12) = 180 Reorder the terms: b + 12 + -9 + 6b + (-12 + 2b) = 180 Remove parenthesis around (-12 + 2b) b + 12 + -9 + 6b + -12 + 2b = 180 Reorder the terms: 12 + -9 + -12 + b + 6b + 2b = 180 Combine like terms: 12 + -9 = 3 3 + -12 + b + 6b + 2b = 180 Combine like terms: 3 + -12 = -9 -9 + b + 6b + 2b = 180 Combine like terms: b + 6b = 7b -9 + 7b + 2b = 180 Combine like terms: 7b + 2b = 9b -9 + 9b = 180 Solving -9 + 9b = 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 + 9b = 180 + 9 Combine like terms: -9 + 9 = 0 0 + 9b = 180 + 9 9b = 180 + 9 Combine like terms: 180 + 9 = 189 9b = 189 Divide each side by '9'. b = 21 Simplifying b = 21
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