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Simplifying -9(12b + -1) + -3b = -9 + 3(-1b + 6) Reorder the terms: -9(-1 + 12b) + -3b = -9 + 3(-1b + 6) (-1 * -9 + 12b * -9) + -3b = -9 + 3(-1b + 6) (9 + -108b) + -3b = -9 + 3(-1b + 6) Combine like terms: -108b + -3b = -111b 9 + -111b = -9 + 3(-1b + 6) Reorder the terms: 9 + -111b = -9 + 3(6 + -1b) 9 + -111b = -9 + (6 * 3 + -1b * 3) 9 + -111b = -9 + (18 + -3b) Combine like terms: -9 + 18 = 9 9 + -111b = 9 + -3b Add '-9' to each side of the equation. 9 + -9 + -111b = 9 + -9 + -3b Combine like terms: 9 + -9 = 0 0 + -111b = 9 + -9 + -3b -111b = 9 + -9 + -3b Combine like terms: 9 + -9 = 0 -111b = 0 + -3b -111b = -3b Solving -111b = -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. -111b + 3b = -3b + 3b Combine like terms: -111b + 3b = -108b -108b = -3b + 3b Combine like terms: -3b + 3b = 0 -108b = 0 Divide each side by '-108'. b = 0 Simplifying b = 0
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