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Simplifying 8n + -1(5 + -3n) + 8 + -1n = 0 8n + (5 * -1 + -3n * -1) + 8 + -1n = 0 8n + (-5 + 3n) + 8 + -1n = 0 Reorder the terms: -5 + 8 + 8n + 3n + -1n = 0 Combine like terms: -5 + 8 = 3 3 + 8n + 3n + -1n = 0 Combine like terms: 8n + 3n = 11n 3 + 11n + -1n = 0 Combine like terms: 11n + -1n = 10n 3 + 10n = 0 Solving 3 + 10n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 10n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10n = 0 + -3 10n = 0 + -3 Combine like terms: 0 + -3 = -3 10n = -3 Divide each side by '10'. n = -0.3 Simplifying n = -0.3
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