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Simplifying 3m(m + -7) + k(m + -7) = 0 Reorder the terms: 3m(-7 + m) + k(m + -7) = 0 (-7 * 3m + m * 3m) + k(m + -7) = 0 (-21m + 3m2) + k(m + -7) = 0 Reorder the terms: -21m + 3m2 + k(-7 + m) = 0 -21m + 3m2 + (-7 * k + m * k) = 0 -21m + 3m2 + (-7k + km) = 0 Reorder the terms: -7k + km + -21m + 3m2 = 0 Solving -7k + km + -21m + 3m2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21m' to each side of the equation. -7k + km + -21m + 21m + 3m2 = 0 + 21m Combine like terms: -21m + 21m = 0 -7k + km + 0 + 3m2 = 0 + 21m -7k + km + 3m2 = 0 + 21m Remove the zero: -7k + km + 3m2 = 21m Add '-3m2' to each side of the equation. -7k + km + 3m2 + -3m2 = 21m + -3m2 Combine like terms: 3m2 + -3m2 = 0 -7k + km + 0 = 21m + -3m2 -7k + km = 21m + -3m2 Reorder the terms: -7k + km + -21m + 3m2 = 21m + -21m + -3m2 + 3m2 Combine like terms: 21m + -21m = 0 -7k + km + -21m + 3m2 = 0 + -3m2 + 3m2 -7k + km + -21m + 3m2 = -3m2 + 3m2 Combine like terms: -3m2 + 3m2 = 0 -7k + km + -21m + 3m2 = 0 The solution to this equation could not be determined.
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