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Simplifying 15(n + 2) = (10 + 5n) Reorder the terms: 15(2 + n) = (10 + 5n) (2 * 15 + n * 15) = (10 + 5n) (30 + 15n) = (10 + 5n) Remove parenthesis around (10 + 5n) 30 + 15n = 10 + 5n Solving 30 + 15n = 10 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 30 + 15n + -5n = 10 + 5n + -5n Combine like terms: 15n + -5n = 10n 30 + 10n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 30 + 10n = 10 + 0 30 + 10n = 10 Add '-30' to each side of the equation. 30 + -30 + 10n = 10 + -30 Combine like terms: 30 + -30 = 0 0 + 10n = 10 + -30 10n = 10 + -30 Combine like terms: 10 + -30 = -20 10n = -20 Divide each side by '10'. n = -2 Simplifying n = -2
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