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Simplifying 2q + 12 = 4k + 14 Reorder the terms: 12 + 2q = 4k + 14 Reorder the terms: 12 + 2q = 14 + 4k Solving 12 + 2q = 14 + 4k Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2q = 14 + -12 + 4k Combine like terms: 12 + -12 = 0 0 + 2q = 14 + -12 + 4k 2q = 14 + -12 + 4k Combine like terms: 14 + -12 = 2 2q = 2 + 4k Divide each side by '2'. q = 1 + 2k Simplifying q = 1 + 2k
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