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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 = 19 19 + -3b = 9[b + 2] + 1 Reorder the terms: 19 + -3b = 9[2 + b] + 1 19 + -3b = [2 * 9 + b * 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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