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Simplifying 7k + -1k + -2k + -4k + 4k + 1 = 17 Reorder the terms: 1 + 7k + -1k + -2k + -4k + 4k = 17 Combine like terms: 7k + -1k = 6k 1 + 6k + -2k + -4k + 4k = 17 Combine like terms: 6k + -2k = 4k 1 + 4k + -4k + 4k = 17 Combine like terms: 4k + -4k = 0 1 + 0 + 4k = 17 1 + 4k = 17 Solving 1 + 4k = 17 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4k = 17 + -1 Combine like terms: 1 + -1 = 0 0 + 4k = 17 + -1 4k = 17 + -1 Combine like terms: 17 + -1 = 16 4k = 16 Divide each side by '4'. k = 4 Simplifying k = 4
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