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Simplifying 5(q + -5) = 2(q + 5) Reorder the terms: 5(-5 + q) = 2(q + 5) (-5 * 5 + q * 5) = 2(q + 5) (-25 + 5q) = 2(q + 5) Reorder the terms: -25 + 5q = 2(5 + q) -25 + 5q = (5 * 2 + q * 2) -25 + 5q = (10 + 2q) Solving -25 + 5q = 10 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -25 + 5q + -2q = 10 + 2q + -2q Combine like terms: 5q + -2q = 3q -25 + 3q = 10 + 2q + -2q Combine like terms: 2q + -2q = 0 -25 + 3q = 10 + 0 -25 + 3q = 10 Add '25' to each side of the equation. -25 + 25 + 3q = 10 + 25 Combine like terms: -25 + 25 = 0 0 + 3q = 10 + 25 3q = 10 + 25 Combine like terms: 10 + 25 = 35 3q = 35 Divide each side by '3'. q = 11.66666667 Simplifying q = 11.66666667
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