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Simplifying -12(b + 11) + -8(b + 12) = -9b + 8b Reorder the terms: -12(11 + b) + -8(b + 12) = -9b + 8b (11 * -12 + b * -12) + -8(b + 12) = -9b + 8b (-132 + -12b) + -8(b + 12) = -9b + 8b Reorder the terms: -132 + -12b + -8(12 + b) = -9b + 8b -132 + -12b + (12 * -8 + b * -8) = -9b + 8b -132 + -12b + (-96 + -8b) = -9b + 8b Reorder the terms: -132 + -96 + -12b + -8b = -9b + 8b Combine like terms: -132 + -96 = -228 -228 + -12b + -8b = -9b + 8b Combine like terms: -12b + -8b = -20b -228 + -20b = -9b + 8b Combine like terms: -9b + 8b = -1b -228 + -20b = -1b Solving -228 + -20b = -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -228 + -20b + b = -1b + b Combine like terms: -20b + b = -19b -228 + -19b = -1b + b Combine like terms: -1b + b = 0 -228 + -19b = 0 Add '228' to each side of the equation. -228 + 228 + -19b = 0 + 228 Combine like terms: -228 + 228 = 0 0 + -19b = 0 + 228 -19b = 0 + 228 Combine like terms: 0 + 228 = 228 -19b = 228 Divide each side by '-19'. b = -12 Simplifying b = -12
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