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Simplifying -12 + 8n + 1 = 5n Reorder the terms: -12 + 1 + 8n = 5n Combine like terms: -12 + 1 = -11 -11 + 8n = 5n Solving -11 + 8n = 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. -11 + 8n + -5n = 5n + -5n Combine like terms: 8n + -5n = 3n -11 + 3n = 5n + -5n Combine like terms: 5n + -5n = 0 -11 + 3n = 0 Add '11' to each side of the equation. -11 + 11 + 3n = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 3n = 0 + 11 3n = 0 + 11 Combine like terms: 0 + 11 = 11 3n = 11 Divide each side by '3'. n = 3.666666667 Simplifying n = 3.666666667
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