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Simplifying (2m + -4m) + (3n + 5n) = 0 Combine like terms: 2m + -4m = -2m (-2m) + (3n + 5n) = 0 (-2m) + (3n + 5n) = 0 Combine like terms: 3n + 5n = 8n (-2m) + (8n) = 0 (-2m) + (8n) = 0 Solving (-2m) + (8n) = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '(-8n)' to each side of the equation. (-2m) + (8n) + (-8n) = 0 + (-8n) Combine like terms: (8n) + (-8n) = 0 (-2m) + 0 = 0 + (-8n) (-2m) = 0 + (-8n) Remove the zero: (-2m) = (-8n) Divide each side by '-2'. m = (4n) Simplifying m = (4n)
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