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Simplifying 13 + 3n + -7n + 1 = -14n + 9n Reorder the terms: 13 + 1 + 3n + -7n = -14n + 9n Combine like terms: 13 + 1 = 14 14 + 3n + -7n = -14n + 9n Combine like terms: 3n + -7n = -4n 14 + -4n = -14n + 9n Combine like terms: -14n + 9n = -5n 14 + -4n = -5n Solving 14 + -4n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 14 + -4n + 5n = -5n + 5n Combine like terms: -4n + 5n = 1n 14 + 1n = -5n + 5n Combine like terms: -5n + 5n = 0 14 + 1n = 0 Add '-14' to each side of the equation. 14 + -14 + 1n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 1n = 0 + -14 1n = 0 + -14 Combine like terms: 0 + -14 = -14 1n = -14 Divide each side by '1'. n = -14 Simplifying n = -14
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