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Simplifying 5k + 4 = 10 + -1k Reorder the terms: 4 + 5k = 10 + -1k Solving 4 + 5k = 10 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. 4 + 5k + k = 10 + -1k + k Combine like terms: 5k + k = 6k 4 + 6k = 10 + -1k + k Combine like terms: -1k + k = 0 4 + 6k = 10 + 0 4 + 6k = 10 Add '-4' to each side of the equation. 4 + -4 + 6k = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 6k = 10 + -4 6k = 10 + -4 Combine like terms: 10 + -4 = 6 6k = 6 Divide each side by '6'. k = 1 Simplifying k = 1
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