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Simplifying 1 + 4k = 4 + 5k Solving 1 + 4k = 4 + 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. 1 + 4k + -5k = 4 + 5k + -5k Combine like terms: 4k + -5k = -1k 1 + -1k = 4 + 5k + -5k Combine like terms: 5k + -5k = 0 1 + -1k = 4 + 0 1 + -1k = 4 Add '-1' to each side of the equation. 1 + -1 + -1k = 4 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 4 + -1 -1k = 4 + -1 Combine like terms: 4 + -1 = 3 -1k = 3 Divide each side by '-1'. k = -3 Simplifying k = -3
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