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Simplifying q + 20 = 3(9 + -2q) Reorder the terms: 20 + q = 3(9 + -2q) 20 + q = (9 * 3 + -2q * 3) 20 + q = (27 + -6q) Solving 20 + q = 27 + -6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6q' to each side of the equation. 20 + q + 6q = 27 + -6q + 6q Combine like terms: q + 6q = 7q 20 + 7q = 27 + -6q + 6q Combine like terms: -6q + 6q = 0 20 + 7q = 27 + 0 20 + 7q = 27 Add '-20' to each side of the equation. 20 + -20 + 7q = 27 + -20 Combine like terms: 20 + -20 = 0 0 + 7q = 27 + -20 7q = 27 + -20 Combine like terms: 27 + -20 = 7 7q = 7 Divide each side by '7'. q = 1 Simplifying q = 1
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