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Simplifying -3(b + 8) + -5 = 9(b + 2) + 1 Reorder the terms: -3(8 + b) + -5 = 9(b + 2) + 1 (8 * -3 + b * -3) + -5 = 9(b + 2) + 1 (-24 + -3b) + -5 = 9(b + 2) + 1 Reorder the terms: -24 + -5 + -3b = 9(b + 2) + 1 Combine like terms: -24 + -5 = -29 -29 + -3b = 9(b + 2) + 1 Reorder the terms: -29 + -3b = 9(2 + b) + 1 -29 + -3b = (2 * 9 + b * 9) + 1 -29 + -3b = (18 + 9b) + 1 Reorder the terms: -29 + -3b = 18 + 1 + 9b Combine like terms: 18 + 1 = 19 -29 + -3b = 19 + 9b Solving -29 + -3b = 19 + 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. -29 + -3b + -9b = 19 + 9b + -9b Combine like terms: -3b + -9b = -12b -29 + -12b = 19 + 9b + -9b Combine like terms: 9b + -9b = 0 -29 + -12b = 19 + 0 -29 + -12b = 19 Add '29' to each side of the equation. -29 + 29 + -12b = 19 + 29 Combine like terms: -29 + 29 = 0 0 + -12b = 19 + 29 -12b = 19 + 29 Combine like terms: 19 + 29 = 48 -12b = 48 Divide each side by '-12'. b = -4 Simplifying b = -4
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