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Simplifying 5n + 14 + -2n = 9 + -2(2n + 1) Reorder the terms: 14 + 5n + -2n = 9 + -2(2n + 1) Combine like terms: 5n + -2n = 3n 14 + 3n = 9 + -2(2n + 1) Reorder the terms: 14 + 3n = 9 + -2(1 + 2n) 14 + 3n = 9 + (1 * -2 + 2n * -2) 14 + 3n = 9 + (-2 + -4n) Combine like terms: 9 + -2 = 7 14 + 3n = 7 + -4n Solving 14 + 3n = 7 + -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. 14 + 3n + 4n = 7 + -4n + 4n Combine like terms: 3n + 4n = 7n 14 + 7n = 7 + -4n + 4n Combine like terms: -4n + 4n = 0 14 + 7n = 7 + 0 14 + 7n = 7 Add '-14' to each side of the equation. 14 + -14 + 7n = 7 + -14 Combine like terms: 14 + -14 = 0 0 + 7n = 7 + -14 7n = 7 + -14 Combine like terms: 7 + -14 = -7 7n = -7 Divide each side by '7'. n = -1 Simplifying n = -1
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