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Simplifying 2m2 + 3n2 = 40 Solving 2m2 + 3n2 = 40 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3n2' to each side of the equation. 2m2 + 3n2 + -3n2 = 40 + -3n2 Combine like terms: 3n2 + -3n2 = 0 2m2 + 0 = 40 + -3n2 2m2 = 40 + -3n2 Divide each side by '2'. m2 = 20 + -1.5n2 Simplifying m2 = 20 + -1.5n2 Reorder the terms: -20 + m2 + 1.5n2 = 20 + -1.5n2 + -20 + 1.5n2 Reorder the terms: -20 + m2 + 1.5n2 = 20 + -20 + -1.5n2 + 1.5n2 Combine like terms: 20 + -20 = 0 -20 + m2 + 1.5n2 = 0 + -1.5n2 + 1.5n2 -20 + m2 + 1.5n2 = -1.5n2 + 1.5n2 Combine like terms: -1.5n2 + 1.5n2 = 0.0 -20 + m2 + 1.5n2 = 0.0 The solution to this equation could not be determined.
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