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Simplifying 4k + 5 = 5k + 1 Reorder the terms: 5 + 4k = 5k + 1 Reorder the terms: 5 + 4k = 1 + 5k Solving 5 + 4k = 1 + 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. 5 + 4k + -5k = 1 + 5k + -5k Combine like terms: 4k + -5k = -1k 5 + -1k = 1 + 5k + -5k Combine like terms: 5k + -5k = 0 5 + -1k = 1 + 0 5 + -1k = 1 Add '-5' to each side of the equation. 5 + -5 + -1k = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -1k = 1 + -5 -1k = 1 + -5 Combine like terms: 1 + -5 = -4 -1k = -4 Divide each side by '-1'. k = 4 Simplifying k = 4
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