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Simplifying 3(q + 2) + q = 2q + 5 Reorder the terms: 3(2 + q) + q = 2q + 5 (2 * 3 + q * 3) + q = 2q + 5 (6 + 3q) + q = 2q + 5 Combine like terms: 3q + q = 4q 6 + 4q = 2q + 5 Reorder the terms: 6 + 4q = 5 + 2q Solving 6 + 4q = 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. 6 + 4q + -2q = 5 + 2q + -2q Combine like terms: 4q + -2q = 2q 6 + 2q = 5 + 2q + -2q Combine like terms: 2q + -2q = 0 6 + 2q = 5 + 0 6 + 2q = 5 Add '-6' to each side of the equation. 6 + -6 + 2q = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 2q = 5 + -6 2q = 5 + -6 Combine like terms: 5 + -6 = -1 2q = -1 Divide each side by '2'. q = -0.5 Simplifying q = -0.5
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