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Simplifying 6n + 10 = 8n + -8 Reorder the terms: 10 + 6n = 8n + -8 Reorder the terms: 10 + 6n = -8 + 8n Solving 10 + 6n = -8 + 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 + 6n + -8n = -8 + 8n + -8n Combine like terms: 6n + -8n = -2n 10 + -2n = -8 + 8n + -8n Combine like terms: 8n + -8n = 0 10 + -2n = -8 + 0 10 + -2n = -8 Add '-10' to each side of the equation. 10 + -10 + -2n = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = -8 + -10 -2n = -8 + -10 Combine like terms: -8 + -10 = -18 -2n = -18 Divide each side by '-2'. n = 9 Simplifying n = 9

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