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Simplifying 4 + 5(1 + 2n) = 89 4 + (1 * 5 + 2n * 5) = 89 4 + (5 + 10n) = 89 Combine like terms: 4 + 5 = 9 9 + 10n = 89 Solving 9 + 10n = 89 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 10n = 89 + -9 Combine like terms: 9 + -9 = 0 0 + 10n = 89 + -9 10n = 89 + -9 Combine like terms: 89 + -9 = 80 10n = 80 Divide each side by '10'. n = 8 Simplifying n = 8
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