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Simplifying 65 = 5(1 + 2n) 65 = (1 * 5 + 2n * 5) 65 = (5 + 10n) Solving 65 = 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. 65 + -10n = 5 + 10n + -10n Combine like terms: 10n + -10n = 0 65 + -10n = 5 + 0 65 + -10n = 5 Add '-65' to each side of the equation. 65 + -65 + -10n = 5 + -65 Combine like terms: 65 + -65 = 0 0 + -10n = 5 + -65 -10n = 5 + -65 Combine like terms: 5 + -65 = -60 -10n = -60 Divide each side by '-10'. n = 6 Simplifying n = 6
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