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Simplifying n + -4 = 8 + -5n Reorder the terms: -4 + n = 8 + -5n Solving -4 + n = 8 + -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 + n + 5n = 8 + -5n + 5n Combine like terms: n + 5n = 6n -4 + 6n = 8 + -5n + 5n Combine like terms: -5n + 5n = 0 -4 + 6n = 8 + 0 -4 + 6n = 8 Add '4' to each side of the equation. -4 + 4 + 6n = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 6n = 8 + 4 6n = 8 + 4 Combine like terms: 8 + 4 = 12 6n = 12 Divide each side by '6'. n = 2 Simplifying n = 2
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