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