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Simplifying -250 = -5(7n + 2) + 5n Reorder the terms: -250 = -5(2 + 7n) + 5n -250 = (2 * -5 + 7n * -5) + 5n -250 = (-10 + -35n) + 5n Combine like terms: -35n + 5n = -30n -250 = -10 + -30n Solving -250 = -10 + -30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30n' to each side of the equation. -250 + 30n = -10 + -30n + 30n Combine like terms: -30n + 30n = 0 -250 + 30n = -10 + 0 -250 + 30n = -10 Add '250' to each side of the equation. -250 + 250 + 30n = -10 + 250 Combine like terms: -250 + 250 = 0 0 + 30n = -10 + 250 30n = -10 + 250 Combine like terms: -10 + 250 = 240 30n = 240 Divide each side by '30'. n = 8 Simplifying n = 8
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