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Simplifying 9(4m + 5n + -7k) = 0 Reorder the terms: 9(-7k + 4m + 5n) = 0 (-7k * 9 + 4m * 9 + 5n * 9) = 0 (-63k + 36m + 45n) = 0 Solving -63k + 36m + 45n = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36m' to each side of the equation. -63k + 36m + -36m + 45n = 0 + -36m Combine like terms: 36m + -36m = 0 -63k + 0 + 45n = 0 + -36m -63k + 45n = 0 + -36m Remove the zero: -63k + 45n = -36m Add '-45n' to each side of the equation. -63k + 45n + -45n = -36m + -45n Combine like terms: 45n + -45n = 0 -63k + 0 = -36m + -45n -63k = -36m + -45n Divide each side by '-63'. k = 0.5714285714m + 0.7142857143n Simplifying k = 0.5714285714m + 0.7142857143n
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