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Simplifying -5(1 + -1n) = 25 + -1n (1 * -5 + -1n * -5) = 25 + -1n (-5 + 5n) = 25 + -1n Solving -5 + 5n = 25 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -5 + 5n + n = 25 + -1n + n Combine like terms: 5n + n = 6n -5 + 6n = 25 + -1n + n Combine like terms: -1n + n = 0 -5 + 6n = 25 + 0 -5 + 6n = 25 Add '5' to each side of the equation. -5 + 5 + 6n = 25 + 5 Combine like terms: -5 + 5 = 0 0 + 6n = 25 + 5 6n = 25 + 5 Combine like terms: 25 + 5 = 30 6n = 30 Divide each side by '6'. n = 5 Simplifying n = 5
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