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Simplifying 6n + 2(6 + 6n) = 84 6n + (6 * 2 + 6n * 2) = 84 6n + (12 + 12n) = 84 Reorder the terms: 12 + 6n + 12n = 84 Combine like terms: 6n + 12n = 18n 12 + 18n = 84 Solving 12 + 18n = 84 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 18n = 84 + -12 Combine like terms: 12 + -12 = 0 0 + 18n = 84 + -12 18n = 84 + -12 Combine like terms: 84 + -12 = 72 18n = 72 Divide each side by '18'. n = 4 Simplifying n = 4
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