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Simplifying 2(q + 6) + -10 = 12 Reorder the terms: 2(6 + q) + -10 = 12 (6 * 2 + q * 2) + -10 = 12 (12 + 2q) + -10 = 12 Reorder the terms: 12 + -10 + 2q = 12 Combine like terms: 12 + -10 = 2 2 + 2q = 12 Solving 2 + 2q = 12 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2q = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2q = 12 + -2 2q = 12 + -2 Combine like terms: 12 + -2 = 10 2q = 10 Divide each side by '2'. q = 5 Simplifying q = 5
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