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Simplifying 3n + 6m + -8 = 3m + m Reorder the terms: -8 + 6m + 3n = 3m + m Combine like terms: 3m + m = 4m -8 + 6m + 3n = 4m Solving -8 + 6m + 3n = 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. -8 + 6m + -4m + 3n = 4m + -4m Combine like terms: 6m + -4m = 2m -8 + 2m + 3n = 4m + -4m Combine like terms: 4m + -4m = 0 -8 + 2m + 3n = 0 Add '8' to each side of the equation. -8 + 2m + 8 + 3n = 0 + 8 Reorder the terms: -8 + 8 + 2m + 3n = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2m + 3n = 0 + 8 2m + 3n = 0 + 8 Combine like terms: 0 + 8 = 8 2m + 3n = 8 Add '-3n' to each side of the equation. 2m + 3n + -3n = 8 + -3n Combine like terms: 3n + -3n = 0 2m + 0 = 8 + -3n 2m = 8 + -3n Divide each side by '2'. m = 4 + -1.5n Simplifying m = 4 + -1.5n
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