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Simplifying 9k + k + -5k + -1k + 5 = 45 Reorder the terms: 5 + 9k + k + -5k + -1k = 45 Combine like terms: 9k + k = 10k 5 + 10k + -5k + -1k = 45 Combine like terms: 10k + -5k = 5k 5 + 5k + -1k = 45 Combine like terms: 5k + -1k = 4k 5 + 4k = 45 Solving 5 + 4k = 45 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4k = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 4k = 45 + -5 4k = 45 + -5 Combine like terms: 45 + -5 = 40 4k = 40 Divide each side by '4'. k = 10 Simplifying k = 10
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