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Simplifying 4 + 3k = 5k + 14 Reorder the terms: 4 + 3k = 14 + 5k Solving 4 + 3k = 14 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. 4 + 3k + -5k = 14 + 5k + -5k Combine like terms: 3k + -5k = -2k 4 + -2k = 14 + 5k + -5k Combine like terms: 5k + -5k = 0 4 + -2k = 14 + 0 4 + -2k = 14 Add '-4' to each side of the equation. 4 + -4 + -2k = 14 + -4 Combine like terms: 4 + -4 = 0 0 + -2k = 14 + -4 -2k = 14 + -4 Combine like terms: 14 + -4 = 10 -2k = 10 Divide each side by '-2'. k = -5 Simplifying k = -5
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