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Simplifying 5n + 5m + -8 = 3m + n Reorder the terms: -8 + 5m + 5n = 3m + n Solving -8 + 5m + 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. -8 + 5m + -3m + 5n = 3m + -3m + n Combine like terms: 5m + -3m = 2m -8 + 2m + 5n = 3m + -3m + n Combine like terms: 3m + -3m = 0 -8 + 2m + 5n = 0 + n -8 + 2m + 5n = n Add '8' to each side of the equation. -8 + 2m + 8 + 5n = 8 + n Reorder the terms: -8 + 8 + 2m + 5n = 8 + n Combine like terms: -8 + 8 = 0 0 + 2m + 5n = 8 + n 2m + 5n = 8 + n Add '-5n' to each side of the equation. 2m + 5n + -5n = 8 + n + -5n Combine like terms: 5n + -5n = 0 2m + 0 = 8 + n + -5n 2m = 8 + n + -5n Combine like terms: n + -5n = -4n 2m = 8 + -4n Divide each side by '2'. m = 4 + -2n Simplifying m = 4 + -2n
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