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Simplifying 3n + -3m + 3 = 3m + n Reorder the terms: 3 + -3m + 3n = 3m + n Solving 3 + -3m + 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. 3 + -3m + -3m + 3n = 3m + -3m + n Combine like terms: -3m + -3m = -6m 3 + -6m + 3n = 3m + -3m + n Combine like terms: 3m + -3m = 0 3 + -6m + 3n = 0 + n 3 + -6m + 3n = n Add '-3' to each side of the equation. 3 + -6m + -3 + 3n = -3 + n Reorder the terms: 3 + -3 + -6m + 3n = -3 + n Combine like terms: 3 + -3 = 0 0 + -6m + 3n = -3 + n -6m + 3n = -3 + n Add '-3n' to each side of the equation. -6m + 3n + -3n = -3 + n + -3n Combine like terms: 3n + -3n = 0 -6m + 0 = -3 + n + -3n -6m = -3 + n + -3n Combine like terms: n + -3n = -2n -6m = -3 + -2n Divide each side by '-6'. m = 0.5 + 0.3333333333n Simplifying m = 0.5 + 0.3333333333n
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