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Simplifying 5(1 + 4n) = (3 + 10n) (1 * 5 + 4n * 5) = (3 + 10n) (5 + 20n) = (3 + 10n) Remove parenthesis around (3 + 10n) 5 + 20n = 3 + 10n Solving 5 + 20n = 3 + 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. 5 + 20n + -10n = 3 + 10n + -10n Combine like terms: 20n + -10n = 10n 5 + 10n = 3 + 10n + -10n Combine like terms: 10n + -10n = 0 5 + 10n = 3 + 0 5 + 10n = 3 Add '-5' to each side of the equation. 5 + -5 + 10n = 3 + -5 Combine like terms: 5 + -5 = 0 0 + 10n = 3 + -5 10n = 3 + -5 Combine like terms: 3 + -5 = -2 10n = -2 Divide each side by '10'. n = -0.2 Simplifying n = -0.2
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