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Simplifying 6n + 3m + 6 = 2m + n Reorder the terms: 6 + 3m + 6n = 2m + n Solving 6 + 3m + 6n = 2m + n 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. 6 + 3m + -2m + 6n = 2m + -2m + n Combine like terms: 3m + -2m = 1m 6 + 1m + 6n = 2m + -2m + n Combine like terms: 2m + -2m = 0 6 + 1m + 6n = 0 + n 6 + 1m + 6n = n Add '-6' to each side of the equation. 6 + 1m + -6 + 6n = -6 + n Reorder the terms: 6 + -6 + 1m + 6n = -6 + n Combine like terms: 6 + -6 = 0 0 + 1m + 6n = -6 + n 1m + 6n = -6 + n Add '-6n' to each side of the equation. 1m + 6n + -6n = -6 + n + -6n Combine like terms: 6n + -6n = 0 1m + 0 = -6 + n + -6n 1m = -6 + n + -6n Combine like terms: n + -6n = -5n 1m = -6 + -5n Divide each side by '1'. m = -6 + -5n Simplifying m = -6 + -5n
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