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Simplifying -5(n + -5) = 1 + -4n Reorder the terms: -5(-5 + n) = 1 + -4n (-5 * -5 + n * -5) = 1 + -4n (25 + -5n) = 1 + -4n Solving 25 + -5n = 1 + -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. 25 + -5n + 4n = 1 + -4n + 4n Combine like terms: -5n + 4n = -1n 25 + -1n = 1 + -4n + 4n Combine like terms: -4n + 4n = 0 25 + -1n = 1 + 0 25 + -1n = 1 Add '-25' to each side of the equation. 25 + -25 + -1n = 1 + -25 Combine like terms: 25 + -25 = 0 0 + -1n = 1 + -25 -1n = 1 + -25 Combine like terms: 1 + -25 = -24 -1n = -24 Divide each side by '-1'. n = 24 Simplifying n = 24
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