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Simplifying 85 = 5(1 + 2n) 85 = (1 * 5 + 2n * 5) 85 = (5 + 10n) Solving 85 = 5 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. 85 + -10n = 5 + 10n + -10n Combine like terms: 10n + -10n = 0 85 + -10n = 5 + 0 85 + -10n = 5 Add '-85' to each side of the equation. 85 + -85 + -10n = 5 + -85 Combine like terms: 85 + -85 = 0 0 + -10n = 5 + -85 -10n = 5 + -85 Combine like terms: 5 + -85 = -80 -10n = -80 Divide each side by '-10'. n = 8 Simplifying n = 8
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