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Simplifying 3q + 12 = 5q + 2 Reorder the terms: 12 + 3q = 5q + 2 Reorder the terms: 12 + 3q = 2 + 5q Solving 12 + 3q = 2 + 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. 12 + 3q + -5q = 2 + 5q + -5q Combine like terms: 3q + -5q = -2q 12 + -2q = 2 + 5q + -5q Combine like terms: 5q + -5q = 0 12 + -2q = 2 + 0 12 + -2q = 2 Add '-12' to each side of the equation. 12 + -12 + -2q = 2 + -12 Combine like terms: 12 + -12 = 0 0 + -2q = 2 + -12 -2q = 2 + -12 Combine like terms: 2 + -12 = -10 -2q = -10 Divide each side by '-2'. q = 5 Simplifying q = 5
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