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Simplifying 5n + 2(5n + 8) = -19 + 8n Reorder the terms: 5n + 2(8 + 5n) = -19 + 8n 5n + (8 * 2 + 5n * 2) = -19 + 8n 5n + (16 + 10n) = -19 + 8n Reorder the terms: 16 + 5n + 10n = -19 + 8n Combine like terms: 5n + 10n = 15n 16 + 15n = -19 + 8n Solving 16 + 15n = -19 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 16 + 15n + -8n = -19 + 8n + -8n Combine like terms: 15n + -8n = 7n 16 + 7n = -19 + 8n + -8n Combine like terms: 8n + -8n = 0 16 + 7n = -19 + 0 16 + 7n = -19 Add '-16' to each side of the equation. 16 + -16 + 7n = -19 + -16 Combine like terms: 16 + -16 = 0 0 + 7n = -19 + -16 7n = -19 + -16 Combine like terms: -19 + -16 = -35 7n = -35 Divide each side by '7'. n = -5 Simplifying n = -5
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