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Simplifying -1(2q + 5) + 3(2q + 8) + -2q = 0 Reorder the terms: -1(5 + 2q) + 3(2q + 8) + -2q = 0 (5 * -1 + 2q * -1) + 3(2q + 8) + -2q = 0 (-5 + -2q) + 3(2q + 8) + -2q = 0 Reorder the terms: -5 + -2q + 3(8 + 2q) + -2q = 0 -5 + -2q + (8 * 3 + 2q * 3) + -2q = 0 -5 + -2q + (24 + 6q) + -2q = 0 Reorder the terms: -5 + 24 + -2q + 6q + -2q = 0 Combine like terms: -5 + 24 = 19 19 + -2q + 6q + -2q = 0 Combine like terms: -2q + 6q = 4q 19 + 4q + -2q = 0 Combine like terms: 4q + -2q = 2q 19 + 2q = 0 Solving 19 + 2q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2q = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2q = 0 + -19 2q = 0 + -19 Combine like terms: 0 + -19 = -19 2q = -19 Divide each side by '2'. q = -9.5 Simplifying q = -9.5
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