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Simplifying 10 + 2n = 8n + -8 + 8 Reorder the terms: 10 + 2n = -8 + 8 + 8n Combine like terms: -8 + 8 = 0 10 + 2n = 0 + 8n 10 + 2n = 8n Solving 10 + 2n = 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 + 2n + -8n = 8n + -8n Combine like terms: 2n + -8n = -6n 10 + -6n = 8n + -8n Combine like terms: 8n + -8n = 0 10 + -6n = 0 Add '-10' to each side of the equation. 10 + -10 + -6n = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -6n = 0 + -10 -6n = 0 + -10 Combine like terms: 0 + -10 = -10 -6n = -10 Divide each side by '-6'. n = 1.666666667 Simplifying n = 1.666666667
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