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Simplifying -1(2q + 8) + 3(2q + 7) + -2q = 0 Reorder the terms: -1(8 + 2q) + 3(2q + 7) + -2q = 0 (8 * -1 + 2q * -1) + 3(2q + 7) + -2q = 0 (-8 + -2q) + 3(2q + 7) + -2q = 0 Reorder the terms: -8 + -2q + 3(7 + 2q) + -2q = 0 -8 + -2q + (7 * 3 + 2q * 3) + -2q = 0 -8 + -2q + (21 + 6q) + -2q = 0 Reorder the terms: -8 + 21 + -2q + 6q + -2q = 0 Combine like terms: -8 + 21 = 13 13 + -2q + 6q + -2q = 0 Combine like terms: -2q + 6q = 4q 13 + 4q + -2q = 0 Combine like terms: 4q + -2q = 2q 13 + 2q = 0 Solving 13 + 2q = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 2q = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2q = 0 + -13 2q = 0 + -13 Combine like terms: 0 + -13 = -13 2q = -13 Divide each side by '2'. q = -6.5 Simplifying q = -6.5
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