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Simplifying 5k + 2 = 4k + 16 Reorder the terms: 2 + 5k = 4k + 16 Reorder the terms: 2 + 5k = 16 + 4k Solving 2 + 5k = 16 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 2 + 5k + -4k = 16 + 4k + -4k Combine like terms: 5k + -4k = 1k 2 + 1k = 16 + 4k + -4k Combine like terms: 4k + -4k = 0 2 + 1k = 16 + 0 2 + 1k = 16 Add '-2' to each side of the equation. 2 + -2 + 1k = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 1k = 16 + -2 1k = 16 + -2 Combine like terms: 16 + -2 = 14 1k = 14 Divide each side by '1'. k = 14 Simplifying k = 14
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