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Simplifying 5n + 1 = 4n + 9 Reorder the terms: 1 + 5n = 4n + 9 Reorder the terms: 1 + 5n = 9 + 4n Solving 1 + 5n = 9 + 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. 1 + 5n + -4n = 9 + 4n + -4n Combine like terms: 5n + -4n = 1n 1 + 1n = 9 + 4n + -4n Combine like terms: 4n + -4n = 0 1 + 1n = 9 + 0 1 + 1n = 9 Add '-1' to each side of the equation. 1 + -1 + 1n = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 1n = 9 + -1 1n = 9 + -1 Combine like terms: 9 + -1 = 8 1n = 8 Divide each side by '1'. n = 8 Simplifying n = 8
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