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Simplifying 8n + 27 + -10n = 8 + -8n + -9 Reorder the terms: 27 + 8n + -10n = 8 + -8n + -9 Combine like terms: 8n + -10n = -2n 27 + -2n = 8 + -8n + -9 Reorder the terms: 27 + -2n = 8 + -9 + -8n Combine like terms: 8 + -9 = -1 27 + -2n = -1 + -8n Solving 27 + -2n = -1 + -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. 27 + -2n + 8n = -1 + -8n + 8n Combine like terms: -2n + 8n = 6n 27 + 6n = -1 + -8n + 8n Combine like terms: -8n + 8n = 0 27 + 6n = -1 + 0 27 + 6n = -1 Add '-27' to each side of the equation. 27 + -27 + 6n = -1 + -27 Combine like terms: 27 + -27 = 0 0 + 6n = -1 + -27 6n = -1 + -27 Combine like terms: -1 + -27 = -28 6n = -28 Divide each side by '6'. n = -4.666666667 Simplifying n = -4.666666667
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