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Simplifying 11k + -7k + -2k + -1k + -1 = 46 Reorder the terms: -1 + 11k + -7k + -2k + -1k = 46 Combine like terms: 11k + -7k = 4k -1 + 4k + -2k + -1k = 46 Combine like terms: 4k + -2k = 2k -1 + 2k + -1k = 46 Combine like terms: 2k + -1k = 1k -1 + 1k = 46 Solving -1 + 1k = 46 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 + 1k = 46 + 1 Combine like terms: -1 + 1 = 0 0 + 1k = 46 + 1 1k = 46 + 1 Combine like terms: 46 + 1 = 47 1k = 47 Divide each side by '1'. k = 47 Simplifying k = 47
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