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Simplifying [7(b + 5) + -17] + [2(b + 2) + 5] = 0 Reorder the terms: [7(5 + b) + -17] + [2(b + 2) + 5] = 0 [(5 * 7 + b * 7) + -17] + [2(b + 2) + 5] = 0 [(35 + 7b) + -17] + [2(b + 2) + 5] = 0 Reorder the terms: [35 + -17 + 7b] + [2(b + 2) + 5] = 0 Combine like terms: 35 + -17 = 18 [18 + 7b] + [2(b + 2) + 5] = 0 Remove brackets around [18 + 7b] 18 + 7b + [2(b + 2) + 5] = 0 Reorder the terms: 18 + 7b + [2(2 + b) + 5] = 0 18 + 7b + [(2 * 2 + b * 2) + 5] = 0 18 + 7b + [(4 + 2b) + 5] = 0 Reorder the terms: 18 + 7b + [4 + 5 + 2b] = 0 Combine like terms: 4 + 5 = 9 18 + 7b + [9 + 2b] = 0 Remove brackets around [9 + 2b] 18 + 7b + 9 + 2b = 0 Reorder the terms: 18 + 9 + 7b + 2b = 0 Combine like terms: 18 + 9 = 27 27 + 7b + 2b = 0 Combine like terms: 7b + 2b = 9b 27 + 9b = 0 Solving 27 + 9b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 9b = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 9b = 0 + -27 9b = 0 + -27 Combine like terms: 0 + -27 = -27 9b = -27 Divide each side by '9'. b = -3 Simplifying b = -3
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