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Simplifying 5m + 9n = 2m + 21n Solving 5m + 9n = 2m + 21n 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 + 9n = 2m + -2m + 21n Combine like terms: 5m + -2m = 3m 3m + 9n = 2m + -2m + 21n Combine like terms: 2m + -2m = 0 3m + 9n = 0 + 21n 3m + 9n = 21n Add '-9n' to each side of the equation. 3m + 9n + -9n = 21n + -9n Combine like terms: 9n + -9n = 0 3m + 0 = 21n + -9n 3m = 21n + -9n Combine like terms: 21n + -9n = 12n 3m = 12n Divide each side by '3'. m = 4n Simplifying m = 4n
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