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Simplifying 3m + n + -2m + 4n + m = 10 Reorder the terms: 3m + -2m + m + n + 4n = 10 Combine like terms: 3m + -2m = 1m 1m + m + n + 4n = 10 Combine like terms: 1m + m = 2m 2m + n + 4n = 10 Combine like terms: n + 4n = 5n 2m + 5n = 10 Solving 2m + 5n = 10 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5n' to each side of the equation. 2m + 5n + -5n = 10 + -5n Combine like terms: 5n + -5n = 0 2m + 0 = 10 + -5n 2m = 10 + -5n Divide each side by '2'. m = 5 + -2.5n Simplifying m = 5 + -2.5n
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