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Simplifying 6x + 3 + -4n = 4n + 5 Reorder the terms: 3 + -4n + 6x = 4n + 5 Reorder the terms: 3 + -4n + 6x = 5 + 4n Solving 3 + -4n + 6x = 5 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 3 + -4n + -4n + 6x = 5 + 4n + -4n Combine like terms: -4n + -4n = -8n 3 + -8n + 6x = 5 + 4n + -4n Combine like terms: 4n + -4n = 0 3 + -8n + 6x = 5 + 0 3 + -8n + 6x = 5 Add '-3' to each side of the equation. 3 + -8n + -3 + 6x = 5 + -3 Reorder the terms: 3 + -3 + -8n + 6x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -8n + 6x = 5 + -3 -8n + 6x = 5 + -3 Combine like terms: 5 + -3 = 2 -8n + 6x = 2 Add '-6x' to each side of the equation. -8n + 6x + -6x = 2 + -6x Combine like terms: 6x + -6x = 0 -8n + 0 = 2 + -6x -8n = 2 + -6x Divide each side by '-8'. n = -0.25 + 0.75x Simplifying n = -0.25 + 0.75x
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