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Simplifying 12n + -8 = 8n + 9 + 1 Reorder the terms: -8 + 12n = 8n + 9 + 1 Reorder the terms: -8 + 12n = 9 + 1 + 8n Combine like terms: 9 + 1 = 10 -8 + 12n = 10 + 8n Solving -8 + 12n = 10 + 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. -8 + 12n + -8n = 10 + 8n + -8n Combine like terms: 12n + -8n = 4n -8 + 4n = 10 + 8n + -8n Combine like terms: 8n + -8n = 0 -8 + 4n = 10 + 0 -8 + 4n = 10 Add '8' to each side of the equation. -8 + 8 + 4n = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 4n = 10 + 8 4n = 10 + 8 Combine like terms: 10 + 8 = 18 4n = 18 Divide each side by '4'. n = 4.5 Simplifying n = 4.5
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