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Simplifying [7(b + 4) + -16] + -1[2(b + -4) + 3] = 0 Reorder the terms: [7(4 + b) + -16] + -1[2(b + -4) + 3] = 0 [(4 * 7 + b * 7) + -16] + -1[2(b + -4) + 3] = 0 [(28 + 7b) + -16] + -1[2(b + -4) + 3] = 0 Reorder the terms: [28 + -16 + 7b] + -1[2(b + -4) + 3] = 0 Combine like terms: 28 + -16 = 12 [12 + 7b] + -1[2(b + -4) + 3] = 0 Remove brackets around [12 + 7b] 12 + 7b + -1[2(b + -4) + 3] = 0 Reorder the terms: 12 + 7b + -1[2(-4 + b) + 3] = 0 12 + 7b + -1[(-4 * 2 + b * 2) + 3] = 0 12 + 7b + -1[(-8 + 2b) + 3] = 0 Reorder the terms: 12 + 7b + -1[-8 + 3 + 2b] = 0 Combine like terms: -8 + 3 = -5 12 + 7b + -1[-5 + 2b] = 0 12 + 7b + [-5 * -1 + 2b * -1] = 0 12 + 7b + [5 + -2b] = 0 Reorder the terms: 12 + 5 + 7b + -2b = 0 Combine like terms: 12 + 5 = 17 17 + 7b + -2b = 0 Combine like terms: 7b + -2b = 5b 17 + 5b = 0 Solving 17 + 5b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 5b = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 5b = 0 + -17 5b = 0 + -17 Combine like terms: 0 + -17 = -17 5b = -17 Divide each side by '5'. b = -3.4 Simplifying b = -3.4
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