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Simplifying 5x + 3mn = 4x + -5mn Reorder the terms: 3mn + 5x = 4x + -5mn Reorder the terms: 3mn + 5x = -5mn + 4x Solving 3mn + 5x = -5mn + 4x 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 + 5x = -5mn + 5mn + 4x Combine like terms: 3mn + 5mn = 8mn 8mn + 5x = -5mn + 5mn + 4x Combine like terms: -5mn + 5mn = 0 8mn + 5x = 0 + 4x 8mn + 5x = 4x Add '-5x' to each side of the equation. 8mn + 5x + -5x = 4x + -5x Combine like terms: 5x + -5x = 0 8mn + 0 = 4x + -5x 8mn = 4x + -5x Combine like terms: 4x + -5x = -1x 8mn = -1x Divide each side by '8n'. m = -0.125n-1x Simplifying m = -0.125n-1x
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