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Simplifying 8 + 4k = 10 + k Solving 8 + 4k = 10 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 8 + 4k + -1k = 10 + k + -1k Combine like terms: 4k + -1k = 3k 8 + 3k = 10 + k + -1k Combine like terms: k + -1k = 0 8 + 3k = 10 + 0 8 + 3k = 10 Add '-8' to each side of the equation. 8 + -8 + 3k = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 3k = 10 + -8 3k = 10 + -8 Combine like terms: 10 + -8 = 2 3k = 2 Divide each side by '3'. k = 0.6666666667 Simplifying k = 0.6666666667
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