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Simplifying [9(q + 5) + -18] + [3(q + -2) + 5] = 0 Reorder the terms: [9(5 + q) + -18] + [3(q + -2) + 5] = 0 [(5 * 9 + q * 9) + -18] + [3(q + -2) + 5] = 0 [(45 + 9q) + -18] + [3(q + -2) + 5] = 0 Reorder the terms: [45 + -18 + 9q] + [3(q + -2) + 5] = 0 Combine like terms: 45 + -18 = 27 [27 + 9q] + [3(q + -2) + 5] = 0 Remove brackets around [27 + 9q] 27 + 9q + [3(q + -2) + 5] = 0 Reorder the terms: 27 + 9q + [3(-2 + q) + 5] = 0 27 + 9q + [(-2 * 3 + q * 3) + 5] = 0 27 + 9q + [(-6 + 3q) + 5] = 0 Reorder the terms: 27 + 9q + [-6 + 5 + 3q] = 0 Combine like terms: -6 + 5 = -1 27 + 9q + [-1 + 3q] = 0 Remove brackets around [-1 + 3q] 27 + 9q + -1 + 3q = 0 Reorder the terms: 27 + -1 + 9q + 3q = 0 Combine like terms: 27 + -1 = 26 26 + 9q + 3q = 0 Combine like terms: 9q + 3q = 12q 26 + 12q = 0 Solving 26 + 12q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 12q = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 12q = 0 + -26 12q = 0 + -26 Combine like terms: 0 + -26 = -26 12q = -26 Divide each side by '12'. q = -2.166666667 Simplifying q = -2.166666667
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