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Simplifying 7(q + -5) = 2(q + 5) Reorder the terms: 7(-5 + q) = 2(q + 5) (-5 * 7 + q * 7) = 2(q + 5) (-35 + 7q) = 2(q + 5) Reorder the terms: -35 + 7q = 2(5 + q) -35 + 7q = (5 * 2 + q * 2) -35 + 7q = (10 + 2q) Solving -35 + 7q = 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. -35 + 7q + -2q = 10 + 2q + -2q Combine like terms: 7q + -2q = 5q -35 + 5q = 10 + 2q + -2q Combine like terms: 2q + -2q = 0 -35 + 5q = 10 + 0 -35 + 5q = 10 Add '35' to each side of the equation. -35 + 35 + 5q = 10 + 35 Combine like terms: -35 + 35 = 0 0 + 5q = 10 + 35 5q = 10 + 35 Combine like terms: 10 + 35 = 45 5q = 45 Divide each side by '5'. q = 9 Simplifying q = 9
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