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Simplifying 5(1 + 2n) = 5n + -15 (1 * 5 + 2n * 5) = 5n + -15 (5 + 10n) = 5n + -15 Reorder the terms: 5 + 10n = -15 + 5n Solving 5 + 10n = -15 + 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. 5 + 10n + -5n = -15 + 5n + -5n Combine like terms: 10n + -5n = 5n 5 + 5n = -15 + 5n + -5n Combine like terms: 5n + -5n = 0 5 + 5n = -15 + 0 5 + 5n = -15 Add '-5' to each side of the equation. 5 + -5 + 5n = -15 + -5 Combine like terms: 5 + -5 = 0 0 + 5n = -15 + -5 5n = -15 + -5 Combine like terms: -15 + -5 = -20 5n = -20 Divide each side by '5'. n = -4 Simplifying n = -4
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