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Simplifying -1(2q + 2) + 3(2q + 4) + -2q = 0 Reorder the terms: -1(2 + 2q) + 3(2q + 4) + -2q = 0 (2 * -1 + 2q * -1) + 3(2q + 4) + -2q = 0 (-2 + -2q) + 3(2q + 4) + -2q = 0 Reorder the terms: -2 + -2q + 3(4 + 2q) + -2q = 0 -2 + -2q + (4 * 3 + 2q * 3) + -2q = 0 -2 + -2q + (12 + 6q) + -2q = 0 Reorder the terms: -2 + 12 + -2q + 6q + -2q = 0 Combine like terms: -2 + 12 = 10 10 + -2q + 6q + -2q = 0 Combine like terms: -2q + 6q = 4q 10 + 4q + -2q = 0 Combine like terms: 4q + -2q = 2q 10 + 2q = 0 Solving 10 + 2q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2q = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2q = 0 + -10 2q = 0 + -10 Combine like terms: 0 + -10 = -10 2q = -10 Divide each side by '2'. q = -5 Simplifying q = -5
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