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Simplifying -12(1 + 3b) + -12(8 + -6b) = 12 + 4b + 12b (1 * -12 + 3b * -12) + -12(8 + -6b) = 12 + 4b + 12b (-12 + -36b) + -12(8 + -6b) = 12 + 4b + 12b -12 + -36b + (8 * -12 + -6b * -12) = 12 + 4b + 12b -12 + -36b + (-96 + 72b) = 12 + 4b + 12b Reorder the terms: -12 + -96 + -36b + 72b = 12 + 4b + 12b Combine like terms: -12 + -96 = -108 -108 + -36b + 72b = 12 + 4b + 12b Combine like terms: -36b + 72b = 36b -108 + 36b = 12 + 4b + 12b Combine like terms: 4b + 12b = 16b -108 + 36b = 12 + 16b Solving -108 + 36b = 12 + 16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16b' to each side of the equation. -108 + 36b + -16b = 12 + 16b + -16b Combine like terms: 36b + -16b = 20b -108 + 20b = 12 + 16b + -16b Combine like terms: 16b + -16b = 0 -108 + 20b = 12 + 0 -108 + 20b = 12 Add '108' to each side of the equation. -108 + 108 + 20b = 12 + 108 Combine like terms: -108 + 108 = 0 0 + 20b = 12 + 108 20b = 12 + 108 Combine like terms: 12 + 108 = 120 20b = 120 Divide each side by '20'. b = 6 Simplifying b = 6
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