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Simplifying 2k(m + 3n + -7) = 0 Reorder the terms: 2k(-7 + m + 3n) = 0 (-7 * 2k + m * 2k + 3n * 2k) = 0 (-14k + 2km + 6kn) = 0 Solving -14k + 2km + 6kn = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2k'. 2k(-7 + m + 3n) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'k' equal to zero and attempt to solve: Simplifying k = 0 Solving k = 0 Move all terms containing k to the left, all other terms to the right. Simplifying k = 0Subproblem 2
Set the factor '(-7 + m + 3n)' equal to zero and attempt to solve: Simplifying -7 + m + 3n = 0 Solving -7 + m + 3n = 0 Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + m + 7 + 3n = 0 + 7 Reorder the terms: -7 + 7 + m + 3n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + m + 3n = 0 + 7 m + 3n = 0 + 7 Combine like terms: 0 + 7 = 7 m + 3n = 7 Add '-1m' to each side of the equation. m + -1m + 3n = 7 + -1m Combine like terms: m + -1m = 0 0 + 3n = 7 + -1m 3n = 7 + -1m Add '-3n' to each side of the equation. 3n + -3n = 7 + -1m + -3n Combine like terms: 3n + -3n = 0 0 = 7 + -1m + -3n Simplifying 0 = 7 + -1m + -3n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
k = {0}
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