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Simplifying -1(2q + 8) + 3(2q + 5) + -2q = 0 Reorder the terms: -1(8 + 2q) + 3(2q + 5) + -2q = 0 (8 * -1 + 2q * -1) + 3(2q + 5) + -2q = 0 (-8 + -2q) + 3(2q + 5) + -2q = 0 Reorder the terms: -8 + -2q + 3(5 + 2q) + -2q = 0 -8 + -2q + (5 * 3 + 2q * 3) + -2q = 0 -8 + -2q + (15 + 6q) + -2q = 0 Reorder the terms: -8 + 15 + -2q + 6q + -2q = 0 Combine like terms: -8 + 15 = 7 7 + -2q + 6q + -2q = 0 Combine like terms: -2q + 6q = 4q 7 + 4q + -2q = 0 Combine like terms: 4q + -2q = 2q 7 + 2q = 0 Solving 7 + 2q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2q = 0 + -7 2q = 0 + -7 Combine like terms: 0 + -7 = -7 2q = -7 Divide each side by '2'. q = -3.5 Simplifying q = -3.5
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