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Simplifying [9(b + 5) + -15] + [3(b + -2) + 4] = 0 Reorder the terms: [9(5 + b) + -15] + [3(b + -2) + 4] = 0 [(5 * 9 + b * 9) + -15] + [3(b + -2) + 4] = 0 [(45 + 9b) + -15] + [3(b + -2) + 4] = 0 Reorder the terms: [45 + -15 + 9b] + [3(b + -2) + 4] = 0 Combine like terms: 45 + -15 = 30 [30 + 9b] + [3(b + -2) + 4] = 0 Remove brackets around [30 + 9b] 30 + 9b + [3(b + -2) + 4] = 0 Reorder the terms: 30 + 9b + [3(-2 + b) + 4] = 0 30 + 9b + [(-2 * 3 + b * 3) + 4] = 0 30 + 9b + [(-6 + 3b) + 4] = 0 Reorder the terms: 30 + 9b + [-6 + 4 + 3b] = 0 Combine like terms: -6 + 4 = -2 30 + 9b + [-2 + 3b] = 0 Remove brackets around [-2 + 3b] 30 + 9b + -2 + 3b = 0 Reorder the terms: 30 + -2 + 9b + 3b = 0 Combine like terms: 30 + -2 = 28 28 + 9b + 3b = 0 Combine like terms: 9b + 3b = 12b 28 + 12b = 0 Solving 28 + 12b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 12b = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 12b = 0 + -28 12b = 0 + -28 Combine like terms: 0 + -28 = -28 12b = -28 Divide each side by '12'. b = -2.333333333 Simplifying b = -2.333333333
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