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Simplifying 5(5q + -3) = 4(5q + 7) Reorder the terms: 5(-3 + 5q) = 4(5q + 7) (-3 * 5 + 5q * 5) = 4(5q + 7) (-15 + 25q) = 4(5q + 7) Reorder the terms: -15 + 25q = 4(7 + 5q) -15 + 25q = (7 * 4 + 5q * 4) -15 + 25q = (28 + 20q) Solving -15 + 25q = 28 + 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. -15 + 25q + -20q = 28 + 20q + -20q Combine like terms: 25q + -20q = 5q -15 + 5q = 28 + 20q + -20q Combine like terms: 20q + -20q = 0 -15 + 5q = 28 + 0 -15 + 5q = 28 Add '15' to each side of the equation. -15 + 15 + 5q = 28 + 15 Combine like terms: -15 + 15 = 0 0 + 5q = 28 + 15 5q = 28 + 15 Combine like terms: 28 + 15 = 43 5q = 43 Divide each side by '5'. q = 8.6 Simplifying q = 8.6
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