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Simplifying 5(4q + 2) = 3(5q + 4) Reorder the terms: 5(2 + 4q) = 3(5q + 4) (2 * 5 + 4q * 5) = 3(5q + 4) (10 + 20q) = 3(5q + 4) Reorder the terms: 10 + 20q = 3(4 + 5q) 10 + 20q = (4 * 3 + 5q * 3) 10 + 20q = (12 + 15q) Solving 10 + 20q = 12 + 15q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-15q' to each side of the equation. 10 + 20q + -15q = 12 + 15q + -15q Combine like terms: 20q + -15q = 5q 10 + 5q = 12 + 15q + -15q Combine like terms: 15q + -15q = 0 10 + 5q = 12 + 0 10 + 5q = 12 Add '-10' to each side of the equation. 10 + -10 + 5q = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 5q = 12 + -10 5q = 12 + -10 Combine like terms: 12 + -10 = 2 5q = 2 Divide each side by '5'. q = 0.4 Simplifying q = 0.4
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