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Simplifying 4n + 5m + -7 = 3m + n Reorder the terms: -7 + 5m + 4n = 3m + n Solving -7 + 5m + 4n = 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 + 5m + -3m + 4n = 3m + -3m + n Combine like terms: 5m + -3m = 2m -7 + 2m + 4n = 3m + -3m + n Combine like terms: 3m + -3m = 0 -7 + 2m + 4n = 0 + n -7 + 2m + 4n = n Add '7' to each side of the equation. -7 + 2m + 7 + 4n = 7 + n Reorder the terms: -7 + 7 + 2m + 4n = 7 + n Combine like terms: -7 + 7 = 0 0 + 2m + 4n = 7 + n 2m + 4n = 7 + n Add '-4n' to each side of the equation. 2m + 4n + -4n = 7 + n + -4n Combine like terms: 4n + -4n = 0 2m + 0 = 7 + n + -4n 2m = 7 + n + -4n Combine like terms: n + -4n = -3n 2m = 7 + -3n Divide each side by '2'. m = 3.5 + -1.5n Simplifying m = 3.5 + -1.5n
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