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Simplifying 2n + -3m + -7 = 3m + n Reorder the terms: -7 + -3m + 2n = 3m + n Solving -7 + -3m + 2n = 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. -7 + -3m + -3m + 2n = 3m + -3m + n Combine like terms: -3m + -3m = -6m -7 + -6m + 2n = 3m + -3m + n Combine like terms: 3m + -3m = 0 -7 + -6m + 2n = 0 + n -7 + -6m + 2n = n Add '7' to each side of the equation. -7 + -6m + 7 + 2n = 7 + n Reorder the terms: -7 + 7 + -6m + 2n = 7 + n Combine like terms: -7 + 7 = 0 0 + -6m + 2n = 7 + n -6m + 2n = 7 + n Add '-2n' to each side of the equation. -6m + 2n + -2n = 7 + n + -2n Combine like terms: 2n + -2n = 0 -6m + 0 = 7 + n + -2n -6m = 7 + n + -2n Combine like terms: n + -2n = -1n -6m = 7 + -1n Divide each side by '-6'. m = -1.166666667 + 0.1666666667n Simplifying m = -1.166666667 + 0.1666666667n
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