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Simplifying 2q + 12 = 5q + 3 Reorder the terms: 12 + 2q = 5q + 3 Reorder the terms: 12 + 2q = 3 + 5q Solving 12 + 2q = 3 + 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 + 2q + -5q = 3 + 5q + -5q Combine like terms: 2q + -5q = -3q 12 + -3q = 3 + 5q + -5q Combine like terms: 5q + -5q = 0 12 + -3q = 3 + 0 12 + -3q = 3 Add '-12' to each side of the equation. 12 + -12 + -3q = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -3q = 3 + -12 -3q = 3 + -12 Combine like terms: 3 + -12 = -9 -3q = -9 Divide each side by '-3'. q = 3 Simplifying q = 3
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