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Simplifying 3(q + 4) + 2 = 2(q + 7) Reorder the terms: 3(4 + q) + 2 = 2(q + 7) (4 * 3 + q * 3) + 2 = 2(q + 7) (12 + 3q) + 2 = 2(q + 7) Reorder the terms: 12 + 2 + 3q = 2(q + 7) Combine like terms: 12 + 2 = 14 14 + 3q = 2(q + 7) Reorder the terms: 14 + 3q = 2(7 + q) 14 + 3q = (7 * 2 + q * 2) 14 + 3q = (14 + 2q) Add '-14' to each side of the equation. 14 + -14 + 3q = 14 + -14 + 2q Combine like terms: 14 + -14 = 0 0 + 3q = 14 + -14 + 2q 3q = 14 + -14 + 2q Combine like terms: 14 + -14 = 0 3q = 0 + 2q 3q = 2q Solving 3q = 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. 3q + -2q = 2q + -2q Combine like terms: 3q + -2q = 1q 1q = 2q + -2q Combine like terms: 2q + -2q = 0 1q = 0 Divide each side by '1'. q = 0 Simplifying q = 0
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