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Simplifying M3 + mn2 + -1m2n + -1n3 = 0 Solving M3 + mn2 + -1m2n + -1n3 = 0 Solving for variable 'M'. Move all terms containing M to the left, all other terms to the right. Add '-1mn2' to each side of the equation. M3 + mn2 + -1m2n + -1mn2 + -1n3 = 0 + -1mn2 Reorder the terms: M3 + mn2 + -1mn2 + -1m2n + -1n3 = 0 + -1mn2 Combine like terms: mn2 + -1mn2 = 0 M3 + 0 + -1m2n + -1n3 = 0 + -1mn2 M3 + -1m2n + -1n3 = 0 + -1mn2 Remove the zero: M3 + -1m2n + -1n3 = -1mn2 Add 'm2n' to each side of the equation. M3 + -1m2n + m2n + -1n3 = -1mn2 + m2n Combine like terms: -1m2n + m2n = 0 M3 + 0 + -1n3 = -1mn2 + m2n M3 + -1n3 = -1mn2 + m2n Add 'n3' to each side of the equation. M3 + -1n3 + n3 = -1mn2 + m2n + n3 Combine like terms: -1n3 + n3 = 0 M3 + 0 = -1mn2 + m2n + n3 M3 = -1mn2 + m2n + n3 Simplifying M3 = -1mn2 + m2n + n3 Reorder the terms: M3 + mn2 + -1m2n + -1n3 = -1mn2 + mn2 + m2n + -1m2n + n3 + -1n3 Combine like terms: -1mn2 + mn2 = 0 M3 + mn2 + -1m2n + -1n3 = 0 + m2n + -1m2n + n3 + -1n3 M3 + mn2 + -1m2n + -1n3 = m2n + -1m2n + n3 + -1n3 Combine like terms: m2n + -1m2n = 0 M3 + mn2 + -1m2n + -1n3 = 0 + n3 + -1n3 M3 + mn2 + -1m2n + -1n3 = n3 + -1n3 Combine like terms: n3 + -1n3 = 0 M3 + mn2 + -1m2n + -1n3 = 0 The solution to this equation could not be determined.
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