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Simplifying 8n + -2 + 4n = 66 + -5n Reorder the terms: -2 + 8n + 4n = 66 + -5n Combine like terms: 8n + 4n = 12n -2 + 12n = 66 + -5n Solving -2 + 12n = 66 + -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. -2 + 12n + 5n = 66 + -5n + 5n Combine like terms: 12n + 5n = 17n -2 + 17n = 66 + -5n + 5n Combine like terms: -5n + 5n = 0 -2 + 17n = 66 + 0 -2 + 17n = 66 Add '2' to each side of the equation. -2 + 2 + 17n = 66 + 2 Combine like terms: -2 + 2 = 0 0 + 17n = 66 + 2 17n = 66 + 2 Combine like terms: 66 + 2 = 68 17n = 68 Divide each side by '17'. n = 4 Simplifying n = 4
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