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Simplifying 7k + -3k + -2k + 2 = 7 + -1k Reorder the terms: 2 + 7k + -3k + -2k = 7 + -1k Combine like terms: 7k + -3k = 4k 2 + 4k + -2k = 7 + -1k Combine like terms: 4k + -2k = 2k 2 + 2k = 7 + -1k Solving 2 + 2k = 7 + -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. 2 + 2k + k = 7 + -1k + k Combine like terms: 2k + k = 3k 2 + 3k = 7 + -1k + k Combine like terms: -1k + k = 0 2 + 3k = 7 + 0 2 + 3k = 7 Add '-2' to each side of the equation. 2 + -2 + 3k = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 3k = 7 + -2 3k = 7 + -2 Combine like terms: 7 + -2 = 5 3k = 5 Divide each side by '3'. k = 1.666666667 Simplifying k = 1.666666667
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