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Simplifying 9n + -14 = 4n + 36 Reorder the terms: -14 + 9n = 4n + 36 Reorder the terms: -14 + 9n = 36 + 4n Solving -14 + 9n = 36 + 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 + 9n + -4n = 36 + 4n + -4n Combine like terms: 9n + -4n = 5n -14 + 5n = 36 + 4n + -4n Combine like terms: 4n + -4n = 0 -14 + 5n = 36 + 0 -14 + 5n = 36 Add '14' to each side of the equation. -14 + 14 + 5n = 36 + 14 Combine like terms: -14 + 14 = 0 0 + 5n = 36 + 14 5n = 36 + 14 Combine like terms: 36 + 14 = 50 5n = 50 Divide each side by '5'. n = 10 Simplifying n = 10
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