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Simplifying [9(q + 4) + -16] + -1[2(q + -3) + 3] = 0 Reorder the terms: [9(4 + q) + -16] + -1[2(q + -3) + 3] = 0 [(4 * 9 + q * 9) + -16] + -1[2(q + -3) + 3] = 0 [(36 + 9q) + -16] + -1[2(q + -3) + 3] = 0 Reorder the terms: [36 + -16 + 9q] + -1[2(q + -3) + 3] = 0 Combine like terms: 36 + -16 = 20 [20 + 9q] + -1[2(q + -3) + 3] = 0 Remove brackets around [20 + 9q] 20 + 9q + -1[2(q + -3) + 3] = 0 Reorder the terms: 20 + 9q + -1[2(-3 + q) + 3] = 0 20 + 9q + -1[(-3 * 2 + q * 2) + 3] = 0 20 + 9q + -1[(-6 + 2q) + 3] = 0 Reorder the terms: 20 + 9q + -1[-6 + 3 + 2q] = 0 Combine like terms: -6 + 3 = -3 20 + 9q + -1[-3 + 2q] = 0 20 + 9q + [-3 * -1 + 2q * -1] = 0 20 + 9q + [3 + -2q] = 0 Reorder the terms: 20 + 3 + 9q + -2q = 0 Combine like terms: 20 + 3 = 23 23 + 9q + -2q = 0 Combine like terms: 9q + -2q = 7q 23 + 7q = 0 Solving 23 + 7q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 7q = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 7q = 0 + -23 7q = 0 + -23 Combine like terms: 0 + -23 = -23 7q = -23 Divide each side by '7'. q = -3.285714286 Simplifying q = -3.285714286
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