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Simplifying 314 = 6n + 8 Reorder the terms: 314 = 8 + 6n Solving 314 = 8 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 314 + -6n = 8 + 6n + -6n Combine like terms: 6n + -6n = 0 314 + -6n = 8 + 0 314 + -6n = 8 Add '-314' to each side of the equation. 314 + -314 + -6n = 8 + -314 Combine like terms: 314 + -314 = 0 0 + -6n = 8 + -314 -6n = 8 + -314 Combine like terms: 8 + -314 = -306 -6n = -306 Divide each side by '-6'. n = 51 Simplifying n = 51
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