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Simplifying 5(20 + q) = 2(30 + q) (20 * 5 + q * 5) = 2(30 + q) (100 + 5q) = 2(30 + q) 100 + 5q = (30 * 2 + q * 2) 100 + 5q = (60 + 2q) Solving 100 + 5q = 60 + 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. 100 + 5q + -2q = 60 + 2q + -2q Combine like terms: 5q + -2q = 3q 100 + 3q = 60 + 2q + -2q Combine like terms: 2q + -2q = 0 100 + 3q = 60 + 0 100 + 3q = 60 Add '-100' to each side of the equation. 100 + -100 + 3q = 60 + -100 Combine like terms: 100 + -100 = 0 0 + 3q = 60 + -100 3q = 60 + -100 Combine like terms: 60 + -100 = -40 3q = -40 Divide each side by '3'. q = -13.33333333 Simplifying q = -13.33333333
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