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Simplifying 4n + 5(4 + 2n) = 118 4n + (4 * 5 + 2n * 5) = 118 4n + (20 + 10n) = 118 Reorder the terms: 20 + 4n + 10n = 118 Combine like terms: 4n + 10n = 14n 20 + 14n = 118 Solving 20 + 14n = 118 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 14n = 118 + -20 Combine like terms: 20 + -20 = 0 0 + 14n = 118 + -20 14n = 118 + -20 Combine like terms: 118 + -20 = 98 14n = 98 Divide each side by '14'. n = 7 Simplifying n = 7
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