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Simplifying (9(q + 4) + -15) + -1(2(q + -4) + 1) = 0 Reorder the terms: (9(4 + q) + -15) + -1(2(q + -4) + 1) = 0 ((4 * 9 + q * 9) + -15) + -1(2(q + -4) + 1) = 0 ((36 + 9q) + -15) + -1(2(q + -4) + 1) = 0 Reorder the terms: (36 + -15 + 9q) + -1(2(q + -4) + 1) = 0 Combine like terms: 36 + -15 = 21 (21 + 9q) + -1(2(q + -4) + 1) = 0 Remove parenthesis around (21 + 9q) 21 + 9q + -1(2(q + -4) + 1) = 0 Reorder the terms: 21 + 9q + -1(2(-4 + q) + 1) = 0 21 + 9q + -1((-4 * 2 + q * 2) + 1) = 0 21 + 9q + -1((-8 + 2q) + 1) = 0 Reorder the terms: 21 + 9q + -1(-8 + 1 + 2q) = 0 Combine like terms: -8 + 1 = -7 21 + 9q + -1(-7 + 2q) = 0 21 + 9q + (-7 * -1 + 2q * -1) = 0 21 + 9q + (7 + -2q) = 0 Reorder the terms: 21 + 7 + 9q + -2q = 0 Combine like terms: 21 + 7 = 28 28 + 9q + -2q = 0 Combine like terms: 9q + -2q = 7q 28 + 7q = 0 Solving 28 + 7q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 7q = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 7q = 0 + -28 7q = 0 + -28 Combine like terms: 0 + -28 = -28 7q = -28 Divide each side by '7'. q = -4 Simplifying q = -4
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