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Simplifying 4n + -2m + 7 = 6m + n Reorder the terms: 7 + -2m + 4n = 6m + n Solving 7 + -2m + 4n = 6m + n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 7 + -2m + -6m + 4n = 6m + -6m + n Combine like terms: -2m + -6m = -8m 7 + -8m + 4n = 6m + -6m + n Combine like terms: 6m + -6m = 0 7 + -8m + 4n = 0 + n 7 + -8m + 4n = n Add '-7' to each side of the equation. 7 + -8m + -7 + 4n = -7 + n Reorder the terms: 7 + -7 + -8m + 4n = -7 + n Combine like terms: 7 + -7 = 0 0 + -8m + 4n = -7 + n -8m + 4n = -7 + n Add '-4n' to each side of the equation. -8m + 4n + -4n = -7 + n + -4n Combine like terms: 4n + -4n = 0 -8m + 0 = -7 + n + -4n -8m = -7 + n + -4n Combine like terms: n + -4n = -3n -8m = -7 + -3n Divide each side by '-8'. m = 0.875 + 0.375n Simplifying m = 0.875 + 0.375n
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