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Simplifying 2(5q + 2) = 2q + 20 Reorder the terms: 2(2 + 5q) = 2q + 20 (2 * 2 + 5q * 2) = 2q + 20 (4 + 10q) = 2q + 20 Reorder the terms: 4 + 10q = 20 + 2q Solving 4 + 10q = 20 + 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. 4 + 10q + -2q = 20 + 2q + -2q Combine like terms: 10q + -2q = 8q 4 + 8q = 20 + 2q + -2q Combine like terms: 2q + -2q = 0 4 + 8q = 20 + 0 4 + 8q = 20 Add '-4' to each side of the equation. 4 + -4 + 8q = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 8q = 20 + -4 8q = 20 + -4 Combine like terms: 20 + -4 = 16 8q = 16 Divide each side by '8'. q = 2 Simplifying q = 2
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