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Simplifying 6(5q + -100) = 3(3q + 15) Reorder the terms: 6(-100 + 5q) = 3(3q + 15) (-100 * 6 + 5q * 6) = 3(3q + 15) (-600 + 30q) = 3(3q + 15) Reorder the terms: -600 + 30q = 3(15 + 3q) -600 + 30q = (15 * 3 + 3q * 3) -600 + 30q = (45 + 9q) Solving -600 + 30q = 45 + 9q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-9q' to each side of the equation. -600 + 30q + -9q = 45 + 9q + -9q Combine like terms: 30q + -9q = 21q -600 + 21q = 45 + 9q + -9q Combine like terms: 9q + -9q = 0 -600 + 21q = 45 + 0 -600 + 21q = 45 Add '600' to each side of the equation. -600 + 600 + 21q = 45 + 600 Combine like terms: -600 + 600 = 0 0 + 21q = 45 + 600 21q = 45 + 600 Combine like terms: 45 + 600 = 645 21q = 645 Divide each side by '21'. q = 30.71428571 Simplifying q = 30.71428571
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