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Simplifying [9(q + 5) + -16] + [2(q + -3) + 4] = 0 Reorder the terms: [9(5 + q) + -16] + [2(q + -3) + 4] = 0 [(5 * 9 + q * 9) + -16] + [2(q + -3) + 4] = 0 [(45 + 9q) + -16] + [2(q + -3) + 4] = 0 Reorder the terms: [45 + -16 + 9q] + [2(q + -3) + 4] = 0 Combine like terms: 45 + -16 = 29 [29 + 9q] + [2(q + -3) + 4] = 0 Remove brackets around [29 + 9q] 29 + 9q + [2(q + -3) + 4] = 0 Reorder the terms: 29 + 9q + [2(-3 + q) + 4] = 0 29 + 9q + [(-3 * 2 + q * 2) + 4] = 0 29 + 9q + [(-6 + 2q) + 4] = 0 Reorder the terms: 29 + 9q + [-6 + 4 + 2q] = 0 Combine like terms: -6 + 4 = -2 29 + 9q + [-2 + 2q] = 0 Remove brackets around [-2 + 2q] 29 + 9q + -2 + 2q = 0 Reorder the terms: 29 + -2 + 9q + 2q = 0 Combine like terms: 29 + -2 = 27 27 + 9q + 2q = 0 Combine like terms: 9q + 2q = 11q 27 + 11q = 0 Solving 27 + 11q = 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 + 11q = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 11q = 0 + -27 11q = 0 + -27 Combine like terms: 0 + -27 = -27 11q = -27 Divide each side by '11'. q = -2.454545455 Simplifying q = -2.454545455
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