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Simplifying 6mn + -6n + 3 + -1n + -1mn + -1n = 0 Reorder the terms: 3 + 6mn + -1mn + -6n + -1n + -1n = 0 Combine like terms: 6mn + -1mn = 5mn 3 + 5mn + -6n + -1n + -1n = 0 Combine like terms: -6n + -1n = -7n 3 + 5mn + -7n + -1n = 0 Combine like terms: -7n + -1n = -8n 3 + 5mn + -8n = 0 Solving 3 + 5mn + -8n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 5mn + -3 + -8n = 0 + -3 Reorder the terms: 3 + -3 + 5mn + -8n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5mn + -8n = 0 + -3 5mn + -8n = 0 + -3 Combine like terms: 0 + -3 = -3 5mn + -8n = -3 Add '8n' to each side of the equation. 5mn + -8n + 8n = -3 + 8n Combine like terms: -8n + 8n = 0 5mn + 0 = -3 + 8n 5mn = -3 + 8n Divide each side by '5n'. m = -0.6n-1 + 1.6 Simplifying m = -0.6n-1 + 1.6 Reorder the terms: m = 1.6 + -0.6n-1
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