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Simplifying 5(3n + 5) = -5 + 5n Reorder the terms: 5(5 + 3n) = -5 + 5n (5 * 5 + 3n * 5) = -5 + 5n (25 + 15n) = -5 + 5n Solving 25 + 15n = -5 + 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. 25 + 15n + -5n = -5 + 5n + -5n Combine like terms: 15n + -5n = 10n 25 + 10n = -5 + 5n + -5n Combine like terms: 5n + -5n = 0 25 + 10n = -5 + 0 25 + 10n = -5 Add '-25' to each side of the equation. 25 + -25 + 10n = -5 + -25 Combine like terms: 25 + -25 = 0 0 + 10n = -5 + -25 10n = -5 + -25 Combine like terms: -5 + -25 = -30 10n = -30 Divide each side by '10'. n = -3 Simplifying n = -3
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