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Simplifying 5 + 3(q + 4) = 2(q + 1) Reorder the terms: 5 + 3(4 + q) = 2(q + 1) 5 + (4 * 3 + q * 3) = 2(q + 1) 5 + (12 + 3q) = 2(q + 1) Combine like terms: 5 + 12 = 17 17 + 3q = 2(q + 1) Reorder the terms: 17 + 3q = 2(1 + q) 17 + 3q = (1 * 2 + q * 2) 17 + 3q = (2 + 2q) Solving 17 + 3q = 2 + 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. 17 + 3q + -2q = 2 + 2q + -2q Combine like terms: 3q + -2q = 1q 17 + 1q = 2 + 2q + -2q Combine like terms: 2q + -2q = 0 17 + 1q = 2 + 0 17 + 1q = 2 Add '-17' to each side of the equation. 17 + -17 + 1q = 2 + -17 Combine like terms: 17 + -17 = 0 0 + 1q = 2 + -17 1q = 2 + -17 Combine like terms: 2 + -17 = -15 1q = -15 Divide each side by '1'. q = -15 Simplifying q = -15
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