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Simplifying 9 + 5n + -1 = 9n + 14 + -7n Reorder the terms: 9 + -1 + 5n = 9n + 14 + -7n Combine like terms: 9 + -1 = 8 8 + 5n = 9n + 14 + -7n Reorder the terms: 8 + 5n = 14 + 9n + -7n Combine like terms: 9n + -7n = 2n 8 + 5n = 14 + 2n Solving 8 + 5n = 14 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 8 + 5n + -2n = 14 + 2n + -2n Combine like terms: 5n + -2n = 3n 8 + 3n = 14 + 2n + -2n Combine like terms: 2n + -2n = 0 8 + 3n = 14 + 0 8 + 3n = 14 Add '-8' to each side of the equation. 8 + -8 + 3n = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 3n = 14 + -8 3n = 14 + -8 Combine like terms: 14 + -8 = 6 3n = 6 Divide each side by '3'. n = 2 Simplifying n = 2
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