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Simplifying 5n + 171 = 14n + -9 Reorder the terms: 171 + 5n = 14n + -9 Reorder the terms: 171 + 5n = -9 + 14n Solving 171 + 5n = -9 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 171 + 5n + -14n = -9 + 14n + -14n Combine like terms: 5n + -14n = -9n 171 + -9n = -9 + 14n + -14n Combine like terms: 14n + -14n = 0 171 + -9n = -9 + 0 171 + -9n = -9 Add '-171' to each side of the equation. 171 + -171 + -9n = -9 + -171 Combine like terms: 171 + -171 = 0 0 + -9n = -9 + -171 -9n = -9 + -171 Combine like terms: -9 + -171 = -180 -9n = -180 Divide each side by '-9'. n = 20 Simplifying n = 20
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