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Simplifying 3n + 2m + -6 = 4m + n Reorder the terms: -6 + 2m + 3n = 4m + n Solving -6 + 2m + 3n = 4m + n 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. -6 + 2m + -4m + 3n = 4m + -4m + n Combine like terms: 2m + -4m = -2m -6 + -2m + 3n = 4m + -4m + n Combine like terms: 4m + -4m = 0 -6 + -2m + 3n = 0 + n -6 + -2m + 3n = n Add '6' to each side of the equation. -6 + -2m + 6 + 3n = 6 + n Reorder the terms: -6 + 6 + -2m + 3n = 6 + n Combine like terms: -6 + 6 = 0 0 + -2m + 3n = 6 + n -2m + 3n = 6 + n Add '-3n' to each side of the equation. -2m + 3n + -3n = 6 + n + -3n Combine like terms: 3n + -3n = 0 -2m + 0 = 6 + n + -3n -2m = 6 + n + -3n Combine like terms: n + -3n = -2n -2m = 6 + -2n Divide each side by '-2'. m = -3 + n Simplifying m = -3 + n
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