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Simplifying 8(q + 5) + -17 + 3(q + -3) + 3 = 0 Reorder the terms: 8(5 + q) + -17 + 3(q + -3) + 3 = 0 (5 * 8 + q * 8) + -17 + 3(q + -3) + 3 = 0 (40 + 8q) + -17 + 3(q + -3) + 3 = 0 Reorder the terms: 40 + 8q + -17 + 3(-3 + q) + 3 = 0 40 + 8q + -17 + (-3 * 3 + q * 3) + 3 = 0 40 + 8q + -17 + (-9 + 3q) + 3 = 0 Reorder the terms: 40 + -17 + -9 + 3 + 8q + 3q = 0 Combine like terms: 40 + -17 = 23 23 + -9 + 3 + 8q + 3q = 0 Combine like terms: 23 + -9 = 14 14 + 3 + 8q + 3q = 0 Combine like terms: 14 + 3 = 17 17 + 8q + 3q = 0 Combine like terms: 8q + 3q = 11q 17 + 11q = 0 Solving 17 + 11q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 11q = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 11q = 0 + -17 11q = 0 + -17 Combine like terms: 0 + -17 = -17 11q = -17 Divide each side by '11'. q = -1.545454545 Simplifying q = -1.545454545
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