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Simplifying 3(5n + 3) = 5n + -11 Reorder the terms: 3(3 + 5n) = 5n + -11 (3 * 3 + 5n * 3) = 5n + -11 (9 + 15n) = 5n + -11 Reorder the terms: 9 + 15n = -11 + 5n Solving 9 + 15n = -11 + 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. 9 + 15n + -5n = -11 + 5n + -5n Combine like terms: 15n + -5n = 10n 9 + 10n = -11 + 5n + -5n Combine like terms: 5n + -5n = 0 9 + 10n = -11 + 0 9 + 10n = -11 Add '-9' to each side of the equation. 9 + -9 + 10n = -11 + -9 Combine like terms: 9 + -9 = 0 0 + 10n = -11 + -9 10n = -11 + -9 Combine like terms: -11 + -9 = -20 10n = -20 Divide each side by '10'. n = -2 Simplifying n = -2
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