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