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Simplifying mn = -6mn + 4m + 18n + -12 Reorder the terms: mn = -12 + 4m + -6mn + 18n Solving mn = -12 + 4m + -6mn + 18n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -4m + mn = -12 + 4m + -6mn + -4m + 18n Reorder the terms: -4m + mn = -12 + 4m + -4m + -6mn + 18n Combine like terms: 4m + -4m = 0 -4m + mn = -12 + 0 + -6mn + 18n -4m + mn = -12 + -6mn + 18n Add '6mn' to each side of the equation. -4m + mn + 6mn = -12 + -6mn + 6mn + 18n Combine like terms: mn + 6mn = 7mn -4m + 7mn = -12 + -6mn + 6mn + 18n Combine like terms: -6mn + 6mn = 0 -4m + 7mn = -12 + 0 + 18n -4m + 7mn = -12 + 18n Reorder the terms: 12 + -4m + 7mn + -18n = -12 + 18n + 12 + -18n Reorder the terms: 12 + -4m + 7mn + -18n = -12 + 12 + 18n + -18n Combine like terms: -12 + 12 = 0 12 + -4m + 7mn + -18n = 0 + 18n + -18n 12 + -4m + 7mn + -18n = 18n + -18n Combine like terms: 18n + -18n = 0 12 + -4m + 7mn + -18n = 0 The solution to this equation could not be determined.
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