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Simplifying 10 + -1n = 8n + -6 Reorder the terms: 10 + -1n = -6 + 8n Solving 10 + -1n = -6 + 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. 10 + -1n + -8n = -6 + 8n + -8n Combine like terms: -1n + -8n = -9n 10 + -9n = -6 + 8n + -8n Combine like terms: 8n + -8n = 0 10 + -9n = -6 + 0 10 + -9n = -6 Add '-10' to each side of the equation. 10 + -10 + -9n = -6 + -10 Combine like terms: 10 + -10 = 0 0 + -9n = -6 + -10 -9n = -6 + -10 Combine like terms: -6 + -10 = -16 -9n = -16 Divide each side by '-9'. n = 1.777777778 Simplifying n = 1.777777778
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