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Simplifying [9(q + 4) + -17] + -1[3(q + -4) + 3] = 0 Reorder the terms: [9(4 + q) + -17] + -1[3(q + -4) + 3] = 0 [(4 * 9 + q * 9) + -17] + -1[3(q + -4) + 3] = 0 [(36 + 9q) + -17] + -1[3(q + -4) + 3] = 0 Reorder the terms: [36 + -17 + 9q] + -1[3(q + -4) + 3] = 0 Combine like terms: 36 + -17 = 19 [19 + 9q] + -1[3(q + -4) + 3] = 0 Remove brackets around [19 + 9q] 19 + 9q + -1[3(q + -4) + 3] = 0 Reorder the terms: 19 + 9q + -1[3(-4 + q) + 3] = 0 19 + 9q + -1[(-4 * 3 + q * 3) + 3] = 0 19 + 9q + -1[(-12 + 3q) + 3] = 0 Reorder the terms: 19 + 9q + -1[-12 + 3 + 3q] = 0 Combine like terms: -12 + 3 = -9 19 + 9q + -1[-9 + 3q] = 0 19 + 9q + [-9 * -1 + 3q * -1] = 0 19 + 9q + [9 + -3q] = 0 Reorder the terms: 19 + 9 + 9q + -3q = 0 Combine like terms: 19 + 9 = 28 28 + 9q + -3q = 0 Combine like terms: 9q + -3q = 6q 28 + 6q = 0 Solving 28 + 6q = 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 + 6q = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 6q = 0 + -28 6q = 0 + -28 Combine like terms: 0 + -28 = -28 6q = -28 Divide each side by '6'. q = -4.666666667 Simplifying q = -4.666666667
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