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Simplifying 54km + 42mn + -30kn = 0 Reorder the terms: 54km + -30kn + 42mn = 0 Solving 54km + -30kn + 42mn = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42mn' to each side of the equation. 54km + -30kn + 42mn + -42mn = 0 + -42mn Combine like terms: 42mn + -42mn = 0 54km + -30kn + 0 = 0 + -42mn 54km + -30kn = 0 + -42mn Remove the zero: 54km + -30kn = -42mn Combine like terms: -42mn + 42mn = 0 54km + -30kn + 42mn = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(9km + -5kn + 7mn) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(9km + -5kn + 7mn)' equal to zero and attempt to solve: Simplifying 9km + -5kn + 7mn = 0 Solving 9km + -5kn + 7mn = 0 Move all terms containing k to the left, all other terms to the right. Add '-7mn' to each side of the equation. 9km + -5kn + 7mn + -7mn = 0 + -7mn Combine like terms: 7mn + -7mn = 0 9km + -5kn + 0 = 0 + -7mn 9km + -5kn = 0 + -7mn Remove the zero: 9km + -5kn = -7mn The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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