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Simplifying -4k + 5k + -7 + 2k = 0 Reorder the terms: -7 + -4k + 5k + 2k = 0 Combine like terms: -4k + 5k = 1k -7 + 1k + 2k = 0 Combine like terms: 1k + 2k = 3k -7 + 3k = 0 Solving -7 + 3k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3k = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3k = 0 + 7 3k = 0 + 7 Combine like terms: 0 + 7 = 7 3k = 7 Divide each side by '3'. k = 2.333333333 Simplifying k = 2.333333333
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