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Simplifying [8(q + 5) + -17] + [2(q + -3) + 4] = 0 Reorder the terms: [8(5 + q) + -17] + [2(q + -3) + 4] = 0 [(5 * 8 + q * 8) + -17] + [2(q + -3) + 4] = 0 [(40 + 8q) + -17] + [2(q + -3) + 4] = 0 Reorder the terms: [40 + -17 + 8q] + [2(q + -3) + 4] = 0 Combine like terms: 40 + -17 = 23 [23 + 8q] + [2(q + -3) + 4] = 0 Remove brackets around [23 + 8q] 23 + 8q + [2(q + -3) + 4] = 0 Reorder the terms: 23 + 8q + [2(-3 + q) + 4] = 0 23 + 8q + [(-3 * 2 + q * 2) + 4] = 0 23 + 8q + [(-6 + 2q) + 4] = 0 Reorder the terms: 23 + 8q + [-6 + 4 + 2q] = 0 Combine like terms: -6 + 4 = -2 23 + 8q + [-2 + 2q] = 0 Remove brackets around [-2 + 2q] 23 + 8q + -2 + 2q = 0 Reorder the terms: 23 + -2 + 8q + 2q = 0 Combine like terms: 23 + -2 = 21 21 + 8q + 2q = 0 Combine like terms: 8q + 2q = 10q 21 + 10q = 0 Solving 21 + 10q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 10q = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 10q = 0 + -21 10q = 0 + -21 Combine like terms: 0 + -21 = -21 10q = -21 Divide each side by '10'. q = -2.1 Simplifying q = -2.1
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