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Simplifying 2n + -5 = 8n + 5 Reorder the terms: -5 + 2n = 8n + 5 Reorder the terms: -5 + 2n = 5 + 8n Solving -5 + 2n = 5 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -5 + 2n + -8n = 5 + 8n + -8n Combine like terms: 2n + -8n = -6n -5 + -6n = 5 + 8n + -8n Combine like terms: 8n + -8n = 0 -5 + -6n = 5 + 0 -5 + -6n = 5 Add '5' to each side of the equation. -5 + 5 + -6n = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -6n = 5 + 5 -6n = 5 + 5 Combine like terms: 5 + 5 = 10 -6n = 10 Divide each side by '-6'. n = -1.666666667 Simplifying n = -1.666666667
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