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Simplifying [8(b + 5) + -15] + [2(b + -2) + 3] = 0 Reorder the terms: [8(5 + b) + -15] + [2(b + -2) + 3] = 0 [(5 * 8 + b * 8) + -15] + [2(b + -2) + 3] = 0 [(40 + 8b) + -15] + [2(b + -2) + 3] = 0 Reorder the terms: [40 + -15 + 8b] + [2(b + -2) + 3] = 0 Combine like terms: 40 + -15 = 25 [25 + 8b] + [2(b + -2) + 3] = 0 Remove brackets around [25 + 8b] 25 + 8b + [2(b + -2) + 3] = 0 Reorder the terms: 25 + 8b + [2(-2 + b) + 3] = 0 25 + 8b + [(-2 * 2 + b * 2) + 3] = 0 25 + 8b + [(-4 + 2b) + 3] = 0 Reorder the terms: 25 + 8b + [-4 + 3 + 2b] = 0 Combine like terms: -4 + 3 = -1 25 + 8b + [-1 + 2b] = 0 Remove brackets around [-1 + 2b] 25 + 8b + -1 + 2b = 0 Reorder the terms: 25 + -1 + 8b + 2b = 0 Combine like terms: 25 + -1 = 24 24 + 8b + 2b = 0 Combine like terms: 8b + 2b = 10b 24 + 10b = 0 Solving 24 + 10b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 10b = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 10b = 0 + -24 10b = 0 + -24 Combine like terms: 0 + -24 = -24 10b = -24 Divide each side by '10'. b = -2.4 Simplifying b = -2.4
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