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Simplifying [9(b + 5) + -15] + -1[3(b + -3) + 3] = 0 Reorder the terms: [9(5 + b) + -15] + -1[3(b + -3) + 3] = 0 [(5 * 9 + b * 9) + -15] + -1[3(b + -3) + 3] = 0 [(45 + 9b) + -15] + -1[3(b + -3) + 3] = 0 Reorder the terms: [45 + -15 + 9b] + -1[3(b + -3) + 3] = 0 Combine like terms: 45 + -15 = 30 [30 + 9b] + -1[3(b + -3) + 3] = 0 Remove brackets around [30 + 9b] 30 + 9b + -1[3(b + -3) + 3] = 0 Reorder the terms: 30 + 9b + -1[3(-3 + b) + 3] = 0 30 + 9b + -1[(-3 * 3 + b * 3) + 3] = 0 30 + 9b + -1[(-9 + 3b) + 3] = 0 Reorder the terms: 30 + 9b + -1[-9 + 3 + 3b] = 0 Combine like terms: -9 + 3 = -6 30 + 9b + -1[-6 + 3b] = 0 30 + 9b + [-6 * -1 + 3b * -1] = 0 30 + 9b + [6 + -3b] = 0 Reorder the terms: 30 + 6 + 9b + -3b = 0 Combine like terms: 30 + 6 = 36 36 + 9b + -3b = 0 Combine like terms: 9b + -3b = 6b 36 + 6b = 0 Solving 36 + 6b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 6b = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 6b = 0 + -36 6b = 0 + -36 Combine like terms: 0 + -36 = -36 6b = -36 Divide each side by '6'. b = -6 Simplifying b = -6
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