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Simplifying 1n(3m + 5) = 1n(5m + 5) Reorder the terms: 1n(5 + 3m) = 1n(5m + 5) (5 * 1n + 3m * 1n) = 1n(5m + 5) Reorder the terms: (3mn + 5n) = 1n(5m + 5) (3mn + 5n) = 1n(5m + 5) Reorder the terms: 3mn + 5n = 1n(5 + 5m) 3mn + 5n = (5 * 1n + 5m * 1n) Reorder the terms: 3mn + 5n = (5mn + 5n) 3mn + 5n = (5mn + 5n) Add '-5n' to each side of the equation. 3mn + 5n + -5n = 5mn + 5n + -5n Combine like terms: 5n + -5n = 0 3mn + 0 = 5mn + 5n + -5n 3mn = 5mn + 5n + -5n Combine like terms: 5n + -5n = 0 3mn = 5mn + 0 3mn = 5mn Solving 3mn = 5mn Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5mn' to each side of the equation. 3mn + -5mn = 5mn + -5mn Combine like terms: 3mn + -5mn = -2mn -2mn = 5mn + -5mn Combine like terms: 5mn + -5mn = 0 -2mn = 0 Divide each side by '-2'. mn = 0 Simplifying mn = 0 The solution to this equation could not be determined.
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