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Simplifying 3n + 7(n + 8) = -8n + -34 Reorder the terms: 3n + 7(8 + n) = -8n + -34 3n + (8 * 7 + n * 7) = -8n + -34 3n + (56 + 7n) = -8n + -34 Reorder the terms: 56 + 3n + 7n = -8n + -34 Combine like terms: 3n + 7n = 10n 56 + 10n = -8n + -34 Reorder the terms: 56 + 10n = -34 + -8n Solving 56 + 10n = -34 + -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. 56 + 10n + 8n = -34 + -8n + 8n Combine like terms: 10n + 8n = 18n 56 + 18n = -34 + -8n + 8n Combine like terms: -8n + 8n = 0 56 + 18n = -34 + 0 56 + 18n = -34 Add '-56' to each side of the equation. 56 + -56 + 18n = -34 + -56 Combine like terms: 56 + -56 = 0 0 + 18n = -34 + -56 18n = -34 + -56 Combine like terms: -34 + -56 = -90 18n = -90 Divide each side by '18'. n = -5 Simplifying n = -5
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