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Simplifying 3(5q + 3) = 4(4 + -5q) Reorder the terms: 3(3 + 5q) = 4(4 + -5q) (3 * 3 + 5q * 3) = 4(4 + -5q) (9 + 15q) = 4(4 + -5q) 9 + 15q = (4 * 4 + -5q * 4) 9 + 15q = (16 + -20q) Solving 9 + 15q = 16 + -20q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '20q' to each side of the equation. 9 + 15q + 20q = 16 + -20q + 20q Combine like terms: 15q + 20q = 35q 9 + 35q = 16 + -20q + 20q Combine like terms: -20q + 20q = 0 9 + 35q = 16 + 0 9 + 35q = 16 Add '-9' to each side of the equation. 9 + -9 + 35q = 16 + -9 Combine like terms: 9 + -9 = 0 0 + 35q = 16 + -9 35q = 16 + -9 Combine like terms: 16 + -9 = 7 35q = 7 Divide each side by '35'. q = 0.2 Simplifying q = 0.2
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