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Simplifying [8(q + 5) + -17] + [2(q + -2) + 3] = 0 Reorder the terms: [8(5 + q) + -17] + [2(q + -2) + 3] = 0 [(5 * 8 + q * 8) + -17] + [2(q + -2) + 3] = 0 [(40 + 8q) + -17] + [2(q + -2) + 3] = 0 Reorder the terms: [40 + -17 + 8q] + [2(q + -2) + 3] = 0 Combine like terms: 40 + -17 = 23 [23 + 8q] + [2(q + -2) + 3] = 0 Remove brackets around [23 + 8q] 23 + 8q + [2(q + -2) + 3] = 0 Reorder the terms: 23 + 8q + [2(-2 + q) + 3] = 0 23 + 8q + [(-2 * 2 + q * 2) + 3] = 0 23 + 8q + [(-4 + 2q) + 3] = 0 Reorder the terms: 23 + 8q + [-4 + 3 + 2q] = 0 Combine like terms: -4 + 3 = -1 23 + 8q + [-1 + 2q] = 0 Remove brackets around [-1 + 2q] 23 + 8q + -1 + 2q = 0 Reorder the terms: 23 + -1 + 8q + 2q = 0 Combine like terms: 23 + -1 = 22 22 + 8q + 2q = 0 Combine like terms: 8q + 2q = 10q 22 + 10q = 0 Solving 22 + 10q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 10q = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 10q = 0 + -22 10q = 0 + -22 Combine like terms: 0 + -22 = -22 10q = -22 Divide each side by '10'. q = -2.2 Simplifying q = -2.2
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