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Simplifying 5 + 2q = 12 + -3q Solving 5 + 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. 5 + 2q + 3q = 12 + -3q + 3q Combine like terms: 2q + 3q = 5q 5 + 5q = 12 + -3q + 3q Combine like terms: -3q + 3q = 0 5 + 5q = 12 + 0 5 + 5q = 12 Add '-5' to each side of the equation. 5 + -5 + 5q = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 5q = 12 + -5 5q = 12 + -5 Combine like terms: 12 + -5 = 7 5q = 7 Divide each side by '5'. q = 1.4 Simplifying q = 1.4
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