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Simplifying -7(k + 3n + 4m) = 0 Reorder the terms: -7(k + 4m + 3n) = 0 (k * -7 + 4m * -7 + 3n * -7) = 0 (-7k + -28m + -21n) = 0 Solving -7k + -28m + -21n = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '28m' to each side of the equation. -7k + -28m + 28m + -21n = 0 + 28m Combine like terms: -28m + 28m = 0 -7k + 0 + -21n = 0 + 28m -7k + -21n = 0 + 28m Remove the zero: -7k + -21n = 28m Add '21n' to each side of the equation. -7k + -21n + 21n = 28m + 21n Combine like terms: -21n + 21n = 0 -7k + 0 = 28m + 21n -7k = 28m + 21n Divide each side by '-7'. k = -4m + -3n Simplifying k = -4m + -3n
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