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Simplifying -5(-4n + 7) = -35 + -5n Reorder the terms: -5(7 + -4n) = -35 + -5n (7 * -5 + -4n * -5) = -35 + -5n (-35 + 20n) = -35 + -5n Add '35' to each side of the equation. -35 + 35 + 20n = -35 + 35 + -5n Combine like terms: -35 + 35 = 0 0 + 20n = -35 + 35 + -5n 20n = -35 + 35 + -5n Combine like terms: -35 + 35 = 0 20n = 0 + -5n 20n = -5n Solving 20n = -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. 20n + 5n = -5n + 5n Combine like terms: 20n + 5n = 25n 25n = -5n + 5n Combine like terms: -5n + 5n = 0 25n = 0 Divide each side by '25'. n = 0 Simplifying n = 0
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