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Simplifying -4 + n + -1 + 5n = 8n + -3n Reorder the terms: -4 + -1 + n + 5n = 8n + -3n Combine like terms: -4 + -1 = -5 -5 + n + 5n = 8n + -3n Combine like terms: n + 5n = 6n -5 + 6n = 8n + -3n Combine like terms: 8n + -3n = 5n -5 + 6n = 5n Solving -5 + 6n = 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. -5 + 6n + -5n = 5n + -5n Combine like terms: 6n + -5n = 1n -5 + 1n = 5n + -5n Combine like terms: 5n + -5n = 0 -5 + 1n = 0 Add '5' to each side of the equation. -5 + 5 + 1n = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 1n = 0 + 5 1n = 0 + 5 Combine like terms: 0 + 5 = 5 1n = 5 Divide each side by '1'. n = 5 Simplifying n = 5
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