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Simplifying 6n + 14 = 84 + n Reorder the terms: 14 + 6n = 84 + n Solving 14 + 6n = 84 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 14 + 6n + -1n = 84 + n + -1n Combine like terms: 6n + -1n = 5n 14 + 5n = 84 + n + -1n Combine like terms: n + -1n = 0 14 + 5n = 84 + 0 14 + 5n = 84 Add '-14' to each side of the equation. 14 + -14 + 5n = 84 + -14 Combine like terms: 14 + -14 = 0 0 + 5n = 84 + -14 5n = 84 + -14 Combine like terms: 84 + -14 = 70 5n = 70 Divide each side by '5'. n = 14 Simplifying n = 14
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