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Simplifying m2 + n2 = 31 Solving m2 + n2 = 31 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1n2' to each side of the equation. m2 + n2 + -1n2 = 31 + -1n2 Combine like terms: n2 + -1n2 = 0 m2 + 0 = 31 + -1n2 m2 = 31 + -1n2 Simplifying m2 = 31 + -1n2 Reorder the terms: -31 + m2 + n2 = 31 + -1n2 + -31 + n2 Reorder the terms: -31 + m2 + n2 = 31 + -31 + -1n2 + n2 Combine like terms: 31 + -31 = 0 -31 + m2 + n2 = 0 + -1n2 + n2 -31 + m2 + n2 = -1n2 + n2 Combine like terms: -1n2 + n2 = 0 -31 + m2 + n2 = 0 The solution to this equation could not be determined.
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