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Simplifying 2(5q + 2) = 4(2q + 5) Reorder the terms: 2(2 + 5q) = 4(2q + 5) (2 * 2 + 5q * 2) = 4(2q + 5) (4 + 10q) = 4(2q + 5) Reorder the terms: 4 + 10q = 4(5 + 2q) 4 + 10q = (5 * 4 + 2q * 4) 4 + 10q = (20 + 8q) Solving 4 + 10q = 20 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 4 + 10q + -8q = 20 + 8q + -8q Combine like terms: 10q + -8q = 2q 4 + 2q = 20 + 8q + -8q Combine like terms: 8q + -8q = 0 4 + 2q = 20 + 0 4 + 2q = 20 Add '-4' to each side of the equation. 4 + -4 + 2q = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 2q = 20 + -4 2q = 20 + -4 Combine like terms: 20 + -4 = 16 2q = 16 Divide each side by '2'. q = 8 Simplifying q = 8
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