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Simplifying 2(2q + 4) + -2q = 24 Reorder the terms: 2(4 + 2q) + -2q = 24 (4 * 2 + 2q * 2) + -2q = 24 (8 + 4q) + -2q = 24 Combine like terms: 4q + -2q = 2q 8 + 2q = 24 Solving 8 + 2q = 24 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2q = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 2q = 24 + -8 2q = 24 + -8 Combine like terms: 24 + -8 = 16 2q = 16 Divide each side by '2'. q = 8 Simplifying q = 8
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