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Simplifying -1(2q + 5) + 3(2q + 3) + -2q = 0 Reorder the terms: -1(5 + 2q) + 3(2q + 3) + -2q = 0 (5 * -1 + 2q * -1) + 3(2q + 3) + -2q = 0 (-5 + -2q) + 3(2q + 3) + -2q = 0 Reorder the terms: -5 + -2q + 3(3 + 2q) + -2q = 0 -5 + -2q + (3 * 3 + 2q * 3) + -2q = 0 -5 + -2q + (9 + 6q) + -2q = 0 Reorder the terms: -5 + 9 + -2q + 6q + -2q = 0 Combine like terms: -5 + 9 = 4 4 + -2q + 6q + -2q = 0 Combine like terms: -2q + 6q = 4q 4 + 4q + -2q = 0 Combine like terms: 4q + -2q = 2q 4 + 2q = 0 Solving 4 + 2q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2q = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2q = 0 + -4 2q = 0 + -4 Combine like terms: 0 + -4 = -4 2q = -4 Divide each side by '2'. q = -2 Simplifying q = -2
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