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Simplifying 6 + 4n + -2 = 8n + 6 + -3n Reorder the terms: 6 + -2 + 4n = 8n + 6 + -3n Combine like terms: 6 + -2 = 4 4 + 4n = 8n + 6 + -3n Reorder the terms: 4 + 4n = 6 + 8n + -3n Combine like terms: 8n + -3n = 5n 4 + 4n = 6 + 5n Solving 4 + 4n = 6 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 4 + 4n + -5n = 6 + 5n + -5n Combine like terms: 4n + -5n = -1n 4 + -1n = 6 + 5n + -5n Combine like terms: 5n + -5n = 0 4 + -1n = 6 + 0 4 + -1n = 6 Add '-4' to each side of the equation. 4 + -4 + -1n = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = 6 + -4 -1n = 6 + -4 Combine like terms: 6 + -4 = 2 -1n = 2 Divide each side by '-1'. n = -2 Simplifying n = -2
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