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Simplifying 4(2 + -1q) = 2(q + 7) (2 * 4 + -1q * 4) = 2(q + 7) (8 + -4q) = 2(q + 7) Reorder the terms: 8 + -4q = 2(7 + q) 8 + -4q = (7 * 2 + q * 2) 8 + -4q = (14 + 2q) Solving 8 + -4q = 14 + 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. 8 + -4q + -2q = 14 + 2q + -2q Combine like terms: -4q + -2q = -6q 8 + -6q = 14 + 2q + -2q Combine like terms: 2q + -2q = 0 8 + -6q = 14 + 0 8 + -6q = 14 Add '-8' to each side of the equation. 8 + -8 + -6q = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -6q = 14 + -8 -6q = 14 + -8 Combine like terms: 14 + -8 = 6 -6q = 6 Divide each side by '-6'. q = -1 Simplifying q = -1
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