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Simplifying 120 + -1(q + 120 + -3q) = 120 + -3q Reorder the terms: 120 + -1(120 + q + -3q) = 120 + -3q Combine like terms: q + -3q = -2q 120 + -1(120 + -2q) = 120 + -3q 120 + (120 * -1 + -2q * -1) = 120 + -3q 120 + (-120 + 2q) = 120 + -3q Combine like terms: 120 + -120 = 0 0 + 2q = 120 + -3q 2q = 120 + -3q Solving 2q = 120 + -3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '3q' to each side of the equation. 2q + 3q = 120 + -3q + 3q Combine like terms: 2q + 3q = 5q 5q = 120 + -3q + 3q Combine like terms: -3q + 3q = 0 5q = 120 + 0 5q = 120 Divide each side by '5'. q = 24 Simplifying q = 24
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