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Simplifying -1(7k + 10m + -19n) = 0 (7k * -1 + 10m * -1 + -19n * -1) = 0 (-7k + -10m + 19n) = 0 Solving -7k + -10m + 19n = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10m' to each side of the equation. -7k + -10m + 10m + 19n = 0 + 10m Combine like terms: -10m + 10m = 0 -7k + 0 + 19n = 0 + 10m -7k + 19n = 0 + 10m Remove the zero: -7k + 19n = 10m Add '-19n' to each side of the equation. -7k + 19n + -19n = 10m + -19n Combine like terms: 19n + -19n = 0 -7k + 0 = 10m + -19n -7k = 10m + -19n Divide each side by '-7'. k = -1.428571429m + 2.714285714n Simplifying k = -1.428571429m + 2.714285714n
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