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