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Simplifying -3(1b + -8) + -5 = 9(1b + 2) + 1 Reorder the terms: -3(-8 + 1b) + -5 = 9(1b + 2) + 1 (-8 * -3 + 1b * -3) + -5 = 9(1b + 2) + 1 (24 + -3b) + -5 = 9(1b + 2) + 1 Reorder the terms: 24 + -5 + -3b = 9(1b + 2) + 1 Combine like terms: 24 + -5 = 19 19 + -3b = 9(1b + 2) + 1 Reorder the terms: 19 + -3b = 9(2 + 1b) + 1 19 + -3b = (2 * 9 + 1b * 9) + 1 19 + -3b = (18 + 9b) + 1 Reorder the terms: 19 + -3b = 18 + 1 + 9b Combine like terms: 18 + 1 = 19 19 + -3b = 19 + 9b Add '-19' to each side of the equation. 19 + -19 + -3b = 19 + -19 + 9b Combine like terms: 19 + -19 = 0 0 + -3b = 19 + -19 + 9b -3b = 19 + -19 + 9b Combine like terms: 19 + -19 = 0 -3b = 0 + 9b -3b = 9b Solving -3b = 9b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9b' to each side of the equation. -3b + -9b = 9b + -9b Combine like terms: -3b + -9b = -12b -12b = 9b + -9b Combine like terms: 9b + -9b = 0 -12b = 0 Divide each side by '-12'. b = 0 Simplifying b = 0
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