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Simplifying 4n + 9 = 5n + -1 Reorder the terms: 9 + 4n = 5n + -1 Reorder the terms: 9 + 4n = -1 + 5n Solving 9 + 4n = -1 + 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. 9 + 4n + -5n = -1 + 5n + -5n Combine like terms: 4n + -5n = -1n 9 + -1n = -1 + 5n + -5n Combine like terms: 5n + -5n = 0 9 + -1n = -1 + 0 9 + -1n = -1 Add '-9' to each side of the equation. 9 + -9 + -1n = -1 + -9 Combine like terms: 9 + -9 = 0 0 + -1n = -1 + -9 -1n = -1 + -9 Combine like terms: -1 + -9 = -10 -1n = -10 Divide each side by '-1'. n = 10 Simplifying n = 10
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