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Simplifying 6n + -4m + 8 = 2m + n Reorder the terms: 8 + -4m + 6n = 2m + n Solving 8 + -4m + 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. 8 + -4m + -2m + 6n = 2m + -2m + n Combine like terms: -4m + -2m = -6m 8 + -6m + 6n = 2m + -2m + n Combine like terms: 2m + -2m = 0 8 + -6m + 6n = 0 + n 8 + -6m + 6n = n Add '-8' to each side of the equation. 8 + -6m + -8 + 6n = -8 + n Reorder the terms: 8 + -8 + -6m + 6n = -8 + n Combine like terms: 8 + -8 = 0 0 + -6m + 6n = -8 + n -6m + 6n = -8 + n Add '-6n' to each side of the equation. -6m + 6n + -6n = -8 + n + -6n Combine like terms: 6n + -6n = 0 -6m + 0 = -8 + n + -6n -6m = -8 + n + -6n Combine like terms: n + -6n = -5n -6m = -8 + -5n Divide each side by '-6'. m = 1.333333333 + 0.8333333333n Simplifying m = 1.333333333 + 0.8333333333n
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