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Simplifying 5mn + 7n + -3mn + 2 + -5n = 0 Reorder the terms: 2 + 5mn + -3mn + 7n + -5n = 0 Combine like terms: 5mn + -3mn = 2mn 2 + 2mn + 7n + -5n = 0 Combine like terms: 7n + -5n = 2n 2 + 2mn + 2n = 0 Solving 2 + 2mn + 2n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 2mn + -2 + 2n = 0 + -2 Reorder the terms: 2 + -2 + 2mn + 2n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2mn + 2n = 0 + -2 2mn + 2n = 0 + -2 Combine like terms: 0 + -2 = -2 2mn + 2n = -2 Add '-2n' to each side of the equation. 2mn + 2n + -2n = -2 + -2n Combine like terms: 2n + -2n = 0 2mn + 0 = -2 + -2n 2mn = -2 + -2n Divide each side by '2n'. m = -1n-1 + -1 Simplifying m = -1n-1 + -1 Reorder the terms: m = -1 + -1n-1
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