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Simplifying 1 + 4k = 5k + 10 Reorder the terms: 1 + 4k = 10 + 5k Solving 1 + 4k = 10 + 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 = 10 + 5k + -5k Combine like terms: 4k + -5k = -1k 1 + -1k = 10 + 5k + -5k Combine like terms: 5k + -5k = 0 1 + -1k = 10 + 0 1 + -1k = 10 Add '-1' to each side of the equation. 1 + -1 + -1k = 10 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 10 + -1 -1k = 10 + -1 Combine like terms: 10 + -1 = 9 -1k = 9 Divide each side by '-1'. k = -9 Simplifying k = -9
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