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Simplifying 10 + -1k = 12 + -4k Solving 10 + -1k = 12 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. 10 + -1k + 4k = 12 + -4k + 4k Combine like terms: -1k + 4k = 3k 10 + 3k = 12 + -4k + 4k Combine like terms: -4k + 4k = 0 10 + 3k = 12 + 0 10 + 3k = 12 Add '-10' to each side of the equation. 10 + -10 + 3k = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 3k = 12 + -10 3k = 12 + -10 Combine like terms: 12 + -10 = 2 3k = 2 Divide each side by '3'. k = 0.6666666667 Simplifying k = 0.6666666667
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