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Simplifying 3(3n + 15) + (10 + n) = 35 Reorder the terms: 3(15 + 3n) + (10 + n) = 35 (15 * 3 + 3n * 3) + (10 + n) = 35 (45 + 9n) + (10 + n) = 35 Remove parenthesis around (10 + n) 45 + 9n + 10 + n = 35 Reorder the terms: 45 + 10 + 9n + n = 35 Combine like terms: 45 + 10 = 55 55 + 9n + n = 35 Combine like terms: 9n + n = 10n 55 + 10n = 35 Solving 55 + 10n = 35 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + 10n = 35 + -55 Combine like terms: 55 + -55 = 0 0 + 10n = 35 + -55 10n = 35 + -55 Combine like terms: 35 + -55 = -20 10n = -20 Divide each side by '10'. n = -2 Simplifying n = -2
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