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Simplifying 2(2 + q) + -2 = 8 (2 * 2 + q * 2) + -2 = 8 (4 + 2q) + -2 = 8 Reorder the terms: 4 + -2 + 2q = 8 Combine like terms: 4 + -2 = 2 2 + 2q = 8 Solving 2 + 2q = 8 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 = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2q = 8 + -2 2q = 8 + -2 Combine like terms: 8 + -2 = 6 2q = 6 Divide each side by '2'. q = 3 Simplifying q = 3
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