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Simplifying -1(2q + 7) + 3(2q + 4) = 2q Reorder the terms: -1(7 + 2q) + 3(2q + 4) = 2q (7 * -1 + 2q * -1) + 3(2q + 4) = 2q (-7 + -2q) + 3(2q + 4) = 2q Reorder the terms: -7 + -2q + 3(4 + 2q) = 2q -7 + -2q + (4 * 3 + 2q * 3) = 2q -7 + -2q + (12 + 6q) = 2q Reorder the terms: -7 + 12 + -2q + 6q = 2q Combine like terms: -7 + 12 = 5 5 + -2q + 6q = 2q Combine like terms: -2q + 6q = 4q 5 + 4q = 2q Solving 5 + 4q = 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. 5 + 4q + -2q = 2q + -2q Combine like terms: 4q + -2q = 2q 5 + 2q = 2q + -2q Combine like terms: 2q + -2q = 0 5 + 2q = 0 Add '-5' to each side of the equation. 5 + -5 + 2q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2q = 0 + -5 2q = 0 + -5 Combine like terms: 0 + -5 = -5 2q = -5 Divide each side by '2'. q = -2.5 Simplifying q = -2.5
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