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Simplifying 7m + 5n = 4m + 10n Solving 7m + 5n = 4m + 10n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 7m + -4m + 5n = 4m + -4m + 10n Combine like terms: 7m + -4m = 3m 3m + 5n = 4m + -4m + 10n Combine like terms: 4m + -4m = 0 3m + 5n = 0 + 10n 3m + 5n = 10n Add '-5n' to each side of the equation. 3m + 5n + -5n = 10n + -5n Combine like terms: 5n + -5n = 0 3m + 0 = 10n + -5n 3m = 10n + -5n Combine like terms: 10n + -5n = 5n 3m = 5n Divide each side by '3'. m = 1.666666667n Simplifying m = 1.666666667n
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