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Simplifying 8 = 2(7 + q) 8 = (7 * 2 + q * 2) 8 = (14 + 2q) Solving 8 = 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 + -2q = 14 + 2q + -2q Combine like terms: 2q + -2q = 0 8 + -2q = 14 + 0 8 + -2q = 14 Add '-8' to each side of the equation. 8 + -8 + -2q = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -2q = 14 + -8 -2q = 14 + -8 Combine like terms: 14 + -8 = 6 -2q = 6 Divide each side by '-2'. q = -3 Simplifying q = -3
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