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Simplifying [7(b + 5) + -16] + [3(b + -3) + 1] = 0 Reorder the terms: [7(5 + b) + -16] + [3(b + -3) + 1] = 0 [(5 * 7 + b * 7) + -16] + [3(b + -3) + 1] = 0 [(35 + 7b) + -16] + [3(b + -3) + 1] = 0 Reorder the terms: [35 + -16 + 7b] + [3(b + -3) + 1] = 0 Combine like terms: 35 + -16 = 19 [19 + 7b] + [3(b + -3) + 1] = 0 Remove brackets around [19 + 7b] 19 + 7b + [3(b + -3) + 1] = 0 Reorder the terms: 19 + 7b + [3(-3 + b) + 1] = 0 19 + 7b + [(-3 * 3 + b * 3) + 1] = 0 19 + 7b + [(-9 + 3b) + 1] = 0 Reorder the terms: 19 + 7b + [-9 + 1 + 3b] = 0 Combine like terms: -9 + 1 = -8 19 + 7b + [-8 + 3b] = 0 Remove brackets around [-8 + 3b] 19 + 7b + -8 + 3b = 0 Reorder the terms: 19 + -8 + 7b + 3b = 0 Combine like terms: 19 + -8 = 11 11 + 7b + 3b = 0 Combine like terms: 7b + 3b = 10b 11 + 10b = 0 Solving 11 + 10b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 10b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 10b = 0 + -11 10b = 0 + -11 Combine like terms: 0 + -11 = -11 10b = -11 Divide each side by '10'. b = -1.1 Simplifying b = -1.1
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