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Simplifying 6m + -1(-2mn + 6n) = 0 6m + (-2mn * -1 + 6n * -1) = 0 6m + (2mn + -6n) = 0 Solving 6m + 2mn + -6n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6n' to each side of the equation. 6m + 2mn + -6n + 6n = 0 + 6n Combine like terms: -6n + 6n = 0 6m + 2mn + 0 = 0 + 6n 6m + 2mn = 0 + 6n Remove the zero: 6m + 2mn = 6n Combine like terms: 6n + -6n = 0 6m + 2mn + -6n = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3m + mn + -3n) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3m + mn + -3n)' equal to zero and attempt to solve: Simplifying 3m + mn + -3n = 0 Solving 3m + mn + -3n = 0 Move all terms containing m to the left, all other terms to the right. Add '3n' to each side of the equation. 3m + mn + -3n + 3n = 0 + 3n Combine like terms: -3n + 3n = 0 3m + mn + 0 = 0 + 3n 3m + mn = 0 + 3n Remove the zero: 3m + mn = 3n 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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