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Simplifying [8(q + 5) + -16] + -1[2(q + -3) + 3] = 0 Reorder the terms: [8(5 + q) + -16] + -1[2(q + -3) + 3] = 0 [(5 * 8 + q * 8) + -16] + -1[2(q + -3) + 3] = 0 [(40 + 8q) + -16] + -1[2(q + -3) + 3] = 0 Reorder the terms: [40 + -16 + 8q] + -1[2(q + -3) + 3] = 0 Combine like terms: 40 + -16 = 24 [24 + 8q] + -1[2(q + -3) + 3] = 0 Remove brackets around [24 + 8q] 24 + 8q + -1[2(q + -3) + 3] = 0 Reorder the terms: 24 + 8q + -1[2(-3 + q) + 3] = 0 24 + 8q + -1[(-3 * 2 + q * 2) + 3] = 0 24 + 8q + -1[(-6 + 2q) + 3] = 0 Reorder the terms: 24 + 8q + -1[-6 + 3 + 2q] = 0 Combine like terms: -6 + 3 = -3 24 + 8q + -1[-3 + 2q] = 0 24 + 8q + [-3 * -1 + 2q * -1] = 0 24 + 8q + [3 + -2q] = 0 Reorder the terms: 24 + 3 + 8q + -2q = 0 Combine like terms: 24 + 3 = 27 27 + 8q + -2q = 0 Combine like terms: 8q + -2q = 6q 27 + 6q = 0 Solving 27 + 6q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 6q = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 6q = 0 + -27 6q = 0 + -27 Combine like terms: 0 + -27 = -27 6q = -27 Divide each side by '6'. q = -4.5 Simplifying q = -4.5
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