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Simplifying 5n + 14 = 1n + 6 Reorder the terms: 14 + 5n = 1n + 6 Reorder the terms: 14 + 5n = 6 + 1n Solving 14 + 5n = 6 + 1n 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 + 5n + -1n = 6 + 1n + -1n Combine like terms: 5n + -1n = 4n 14 + 4n = 6 + 1n + -1n Combine like terms: 1n + -1n = 0 14 + 4n = 6 + 0 14 + 4n = 6 Add '-14' to each side of the equation. 14 + -14 + 4n = 6 + -14 Combine like terms: 14 + -14 = 0 0 + 4n = 6 + -14 4n = 6 + -14 Combine like terms: 6 + -14 = -8 4n = -8 Divide each side by '4'. n = -2 Simplifying n = -2
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