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Simplifying 7q + 7 = 2(9 + -1q) Reorder the terms: 7 + 7q = 2(9 + -1q) 7 + 7q = (9 * 2 + -1q * 2) 7 + 7q = (18 + -2q) Solving 7 + 7q = 18 + -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. 7 + 7q + 2q = 18 + -2q + 2q Combine like terms: 7q + 2q = 9q 7 + 9q = 18 + -2q + 2q Combine like terms: -2q + 2q = 0 7 + 9q = 18 + 0 7 + 9q = 18 Add '-7' to each side of the equation. 7 + -7 + 9q = 18 + -7 Combine like terms: 7 + -7 = 0 0 + 9q = 18 + -7 9q = 18 + -7 Combine like terms: 18 + -7 = 11 9q = 11 Divide each side by '9'. q = 1.222222222 Simplifying q = 1.222222222
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