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Simplifying 5(5q + 8) = 3(8 + 7q) Reorder the terms: 5(8 + 5q) = 3(8 + 7q) (8 * 5 + 5q * 5) = 3(8 + 7q) (40 + 25q) = 3(8 + 7q) 40 + 25q = (8 * 3 + 7q * 3) 40 + 25q = (24 + 21q) Solving 40 + 25q = 24 + 21q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-21q' to each side of the equation. 40 + 25q + -21q = 24 + 21q + -21q Combine like terms: 25q + -21q = 4q 40 + 4q = 24 + 21q + -21q Combine like terms: 21q + -21q = 0 40 + 4q = 24 + 0 40 + 4q = 24 Add '-40' to each side of the equation. 40 + -40 + 4q = 24 + -40 Combine like terms: 40 + -40 = 0 0 + 4q = 24 + -40 4q = 24 + -40 Combine like terms: 24 + -40 = -16 4q = -16 Divide each side by '4'. q = -4 Simplifying q = -4
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