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Simplifying 5n + -4 + -1n = 9n + 21 Reorder the terms: -4 + 5n + -1n = 9n + 21 Combine like terms: 5n + -1n = 4n -4 + 4n = 9n + 21 Reorder the terms: -4 + 4n = 21 + 9n Solving -4 + 4n = 21 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -4 + 4n + -9n = 21 + 9n + -9n Combine like terms: 4n + -9n = -5n -4 + -5n = 21 + 9n + -9n Combine like terms: 9n + -9n = 0 -4 + -5n = 21 + 0 -4 + -5n = 21 Add '4' to each side of the equation. -4 + 4 + -5n = 21 + 4 Combine like terms: -4 + 4 = 0 0 + -5n = 21 + 4 -5n = 21 + 4 Combine like terms: 21 + 4 = 25 -5n = 25 Divide each side by '-5'. n = -5 Simplifying n = -5
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