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Simplifying m + 4n = 2n + 8m Reorder the terms: m + 4n = 8m + 2n Solving m + 4n = 8m + 2n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. m + -8m + 4n = 8m + -8m + 2n Combine like terms: m + -8m = -7m -7m + 4n = 8m + -8m + 2n Combine like terms: 8m + -8m = 0 -7m + 4n = 0 + 2n -7m + 4n = 2n Add '-4n' to each side of the equation. -7m + 4n + -4n = 2n + -4n Combine like terms: 4n + -4n = 0 -7m + 0 = 2n + -4n -7m = 2n + -4n Combine like terms: 2n + -4n = -2n -7m = -2n Divide each side by '-7'. m = 0.2857142857n Simplifying m = 0.2857142857n
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