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Simplifying 2q + 3 = 5q + -9 Reorder the terms: 3 + 2q = 5q + -9 Reorder the terms: 3 + 2q = -9 + 5q Solving 3 + 2q = -9 + 5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-5q' to each side of the equation. 3 + 2q + -5q = -9 + 5q + -5q Combine like terms: 2q + -5q = -3q 3 + -3q = -9 + 5q + -5q Combine like terms: 5q + -5q = 0 3 + -3q = -9 + 0 3 + -3q = -9 Add '-3' to each side of the equation. 3 + -3 + -3q = -9 + -3 Combine like terms: 3 + -3 = 0 0 + -3q = -9 + -3 -3q = -9 + -3 Combine like terms: -9 + -3 = -12 -3q = -12 Divide each side by '-3'. q = 4 Simplifying q = 4
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