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Simplifying 4n + -5m = 6n + 2m Reorder the terms: -5m + 4n = 6n + 2m Reorder the terms: -5m + 4n = 2m + 6n Solving -5m + 4n = 2m + 6n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -5m + -2m + 4n = 2m + -2m + 6n Combine like terms: -5m + -2m = -7m -7m + 4n = 2m + -2m + 6n Combine like terms: 2m + -2m = 0 -7m + 4n = 0 + 6n -7m + 4n = 6n Add '-4n' to each side of the equation. -7m + 4n + -4n = 6n + -4n Combine like terms: 4n + -4n = 0 -7m + 0 = 6n + -4n -7m = 6n + -4n Combine like terms: 6n + -4n = 2n -7m = 2n Divide each side by '-7'. m = -0.2857142857n Simplifying m = -0.2857142857n
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