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Simplifying 5n + -2m + 6 = 3m + n Reorder the terms: 6 + -2m + 5n = 3m + n Solving 6 + -2m + 5n = 3m + n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 6 + -2m + -3m + 5n = 3m + -3m + n Combine like terms: -2m + -3m = -5m 6 + -5m + 5n = 3m + -3m + n Combine like terms: 3m + -3m = 0 6 + -5m + 5n = 0 + n 6 + -5m + 5n = n Add '-6' to each side of the equation. 6 + -5m + -6 + 5n = -6 + n Reorder the terms: 6 + -6 + -5m + 5n = -6 + n Combine like terms: 6 + -6 = 0 0 + -5m + 5n = -6 + n -5m + 5n = -6 + n Add '-5n' to each side of the equation. -5m + 5n + -5n = -6 + n + -5n Combine like terms: 5n + -5n = 0 -5m + 0 = -6 + n + -5n -5m = -6 + n + -5n Combine like terms: n + -5n = -4n -5m = -6 + -4n Divide each side by '-5'. m = 1.2 + 0.8n Simplifying m = 1.2 + 0.8n
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