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Simplifying 5(q + -4) = 2(q + 5) Reorder the terms: 5(-4 + q) = 2(q + 5) (-4 * 5 + q * 5) = 2(q + 5) (-20 + 5q) = 2(q + 5) Reorder the terms: -20 + 5q = 2(5 + q) -20 + 5q = (5 * 2 + q * 2) -20 + 5q = (10 + 2q) Solving -20 + 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. -20 + 5q + -2q = 10 + 2q + -2q Combine like terms: 5q + -2q = 3q -20 + 3q = 10 + 2q + -2q Combine like terms: 2q + -2q = 0 -20 + 3q = 10 + 0 -20 + 3q = 10 Add '20' to each side of the equation. -20 + 20 + 3q = 10 + 20 Combine like terms: -20 + 20 = 0 0 + 3q = 10 + 20 3q = 10 + 20 Combine like terms: 10 + 20 = 30 3q = 30 Divide each side by '3'. q = 10 Simplifying q = 10
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