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Simplifying 10 + 2n = 8n + -8(8) Multiply -8 * 8 10 + 2n = 8n + -64 Reorder the terms: 10 + 2n = -64 + 8n Solving 10 + 2n = -64 + 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 = -64 + 8n + -8n Combine like terms: 2n + -8n = -6n 10 + -6n = -64 + 8n + -8n Combine like terms: 8n + -8n = 0 10 + -6n = -64 + 0 10 + -6n = -64 Add '-10' to each side of the equation. 10 + -10 + -6n = -64 + -10 Combine like terms: 10 + -10 = 0 0 + -6n = -64 + -10 -6n = -64 + -10 Combine like terms: -64 + -10 = -74 -6n = -74 Divide each side by '-6'. n = 12.33333333 Simplifying n = 12.33333333
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