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Simplifying 3q + -5q = 3q + 7 + 5 Combine like terms: 3q + -5q = -2q -2q = 3q + 7 + 5 Reorder the terms: -2q = 7 + 5 + 3q Combine like terms: 7 + 5 = 12 -2q = 12 + 3q Solving -2q = 12 + 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 = 12 + 3q + -3q Combine like terms: -2q + -3q = -5q -5q = 12 + 3q + -3q Combine like terms: 3q + -3q = 0 -5q = 12 + 0 -5q = 12 Divide each side by '-5'. q = -2.4 Simplifying q = -2.4
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