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Simplifying 5(n + 2) = 0.40(5 + 10n) Reorder the terms: 5(2 + n) = 0.40(5 + 10n) (2 * 5 + n * 5) = 0.40(5 + 10n) (10 + 5n) = 0.40(5 + 10n) 10 + 5n = (5 * 0.40 + 10n * 0.40) 10 + 5n = (2 + 4n) Solving 10 + 5n = 2 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 10 + 5n + -4n = 2 + 4n + -4n Combine like terms: 5n + -4n = 1n 10 + 1n = 2 + 4n + -4n Combine like terms: 4n + -4n = 0 10 + 1n = 2 + 0 10 + 1n = 2 Add '-10' to each side of the equation. 10 + -10 + 1n = 2 + -10 Combine like terms: 10 + -10 = 0 0 + 1n = 2 + -10 1n = 2 + -10 Combine like terms: 2 + -10 = -8 1n = -8 Divide each side by '1'. n = -8 Simplifying n = -8
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