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Simplifying 15k + -3k + -1k + -10k + 1 = 40 Reorder the terms: 1 + 15k + -3k + -1k + -10k = 40 Combine like terms: 15k + -3k = 12k 1 + 12k + -1k + -10k = 40 Combine like terms: 12k + -1k = 11k 1 + 11k + -10k = 40 Combine like terms: 11k + -10k = 1k 1 + 1k = 40 Solving 1 + 1k = 40 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 = 40 + -1 Combine like terms: 1 + -1 = 0 0 + 1k = 40 + -1 1k = 40 + -1 Combine like terms: 40 + -1 = 39 1k = 39 Divide each side by '1'. k = 39 Simplifying k = 39
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