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Simplifying 7 + -5k + 3 + 2k + -1k + 5 = 0 Reorder the terms: 7 + 3 + 5 + -5k + 2k + -1k = 0 Combine like terms: 7 + 3 = 10 10 + 5 + -5k + 2k + -1k = 0 Combine like terms: 10 + 5 = 15 15 + -5k + 2k + -1k = 0 Combine like terms: -5k + 2k = -3k 15 + -3k + -1k = 0 Combine like terms: -3k + -1k = -4k 15 + -4k = 0 Solving 15 + -4k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -4k = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -4k = 0 + -15 -4k = 0 + -15 Combine like terms: 0 + -15 = -15 -4k = -15 Divide each side by '-4'. k = 3.75 Simplifying k = 3.75
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