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Simplifying 3n + 6m + -8 = 3m + n Reorder the terms: -8 + 6m + 3n = 3m + n Solving -8 + 6m + 3n = 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 + 6m + -3m + 3n = 3m + -3m + n Combine like terms: 6m + -3m = 3m -8 + 3m + 3n = 3m + -3m + n Combine like terms: 3m + -3m = 0 -8 + 3m + 3n = 0 + n -8 + 3m + 3n = n Add '8' to each side of the equation. -8 + 3m + 8 + 3n = 8 + n Reorder the terms: -8 + 8 + 3m + 3n = 8 + n Combine like terms: -8 + 8 = 0 0 + 3m + 3n = 8 + n 3m + 3n = 8 + n Add '-3n' to each side of the equation. 3m + 3n + -3n = 8 + n + -3n Combine like terms: 3n + -3n = 0 3m + 0 = 8 + n + -3n 3m = 8 + n + -3n Combine like terms: n + -3n = -2n 3m = 8 + -2n Divide each side by '3'. m = 2.666666667 + -0.6666666667n Simplifying m = 2.666666667 + -0.6666666667n
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