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Simplifying 3(q + 2) + 9 = 2q + 5 Reorder the terms: 3(2 + q) + 9 = 2q + 5 (2 * 3 + q * 3) + 9 = 2q + 5 (6 + 3q) + 9 = 2q + 5 Reorder the terms: 6 + 9 + 3q = 2q + 5 Combine like terms: 6 + 9 = 15 15 + 3q = 2q + 5 Reorder the terms: 15 + 3q = 5 + 2q Solving 15 + 3q = 5 + 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. 15 + 3q + -2q = 5 + 2q + -2q Combine like terms: 3q + -2q = 1q 15 + 1q = 5 + 2q + -2q Combine like terms: 2q + -2q = 0 15 + 1q = 5 + 0 15 + 1q = 5 Add '-15' to each side of the equation. 15 + -15 + 1q = 5 + -15 Combine like terms: 15 + -15 = 0 0 + 1q = 5 + -15 1q = 5 + -15 Combine like terms: 5 + -15 = -10 1q = -10 Divide each side by '1'. q = -10 Simplifying q = -10
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