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Simplifying -17m + -8n + 5k + 4m + -9k = 0 Reorder the terms: 5k + -9k + -17m + 4m + -8n = 0 Combine like terms: 5k + -9k = -4k -4k + -17m + 4m + -8n = 0 Combine like terms: -17m + 4m = -13m -4k + -13m + -8n = 0 Solving -4k + -13m + -8n = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13m' to each side of the equation. -4k + -13m + 13m + -8n = 0 + 13m Combine like terms: -13m + 13m = 0 -4k + 0 + -8n = 0 + 13m -4k + -8n = 0 + 13m Remove the zero: -4k + -8n = 13m Add '8n' to each side of the equation. -4k + -8n + 8n = 13m + 8n Combine like terms: -8n + 8n = 0 -4k + 0 = 13m + 8n -4k = 13m + 8n Divide each side by '-4'. k = -3.25m + -2n Simplifying k = -3.25m + -2n
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