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Simplifying 6n + 7 + -2 + -14 = 4n + 8 Reorder the terms: 7 + -2 + -14 + 6n = 4n + 8 Combine like terms: 7 + -2 = 5 5 + -14 + 6n = 4n + 8 Combine like terms: 5 + -14 = -9 -9 + 6n = 4n + 8 Reorder the terms: -9 + 6n = 8 + 4n Solving -9 + 6n = 8 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -9 + 6n + -4n = 8 + 4n + -4n Combine like terms: 6n + -4n = 2n -9 + 2n = 8 + 4n + -4n Combine like terms: 4n + -4n = 0 -9 + 2n = 8 + 0 -9 + 2n = 8 Add '9' to each side of the equation. -9 + 9 + 2n = 8 + 9 Combine like terms: -9 + 9 = 0 0 + 2n = 8 + 9 2n = 8 + 9 Combine like terms: 8 + 9 = 17 2n = 17 Divide each side by '2'. n = 8.5 Simplifying n = 8.5
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