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Simplifying -25 = 5(-7 + 5n) + -5(4n + 5) -25 = (-7 * 5 + 5n * 5) + -5(4n + 5) -25 = (-35 + 25n) + -5(4n + 5) Reorder the terms: -25 = -35 + 25n + -5(5 + 4n) -25 = -35 + 25n + (5 * -5 + 4n * -5) -25 = -35 + 25n + (-25 + -20n) Reorder the terms: -25 = -35 + -25 + 25n + -20n Combine like terms: -35 + -25 = -60 -25 = -60 + 25n + -20n Combine like terms: 25n + -20n = 5n -25 = -60 + 5n Solving -25 = -60 + 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. -25 + -5n = -60 + 5n + -5n Combine like terms: 5n + -5n = 0 -25 + -5n = -60 + 0 -25 + -5n = -60 Add '25' to each side of the equation. -25 + 25 + -5n = -60 + 25 Combine like terms: -25 + 25 = 0 0 + -5n = -60 + 25 -5n = -60 + 25 Combine like terms: -60 + 25 = -35 -5n = -35 Divide each side by '-5'. n = 7 Simplifying n = 7
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