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Simplifying 14m + 7n + -2mn + n = 0 Reorder the terms: 14m + -2mn + 7n + n = 0 Combine like terms: 7n + n = 8n 14m + -2mn + 8n = 0 Solving 14m + -2mn + 8n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8n' to each side of the equation. 14m + -2mn + 8n + -8n = 0 + -8n Combine like terms: 8n + -8n = 0 14m + -2mn + 0 = 0 + -8n 14m + -2mn = 0 + -8n Remove the zero: 14m + -2mn = -8n Combine like terms: -8n + 8n = 0 14m + -2mn + 8n = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(7m + -1mn + 4n) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(7m + -1mn + 4n)' equal to zero and attempt to solve: Simplifying 7m + -1mn + 4n = 0 Solving 7m + -1mn + 4n = 0 Move all terms containing m to the left, all other terms to the right. Add '-4n' to each side of the equation. 7m + -1mn + 4n + -4n = 0 + -4n Combine like terms: 4n + -4n = 0 7m + -1mn + 0 = 0 + -4n 7m + -1mn = 0 + -4n Remove the zero: 7m + -1mn = -4n 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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