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Simplifying -245 = 5n + -5(1 + 7n) -245 = 5n + (1 * -5 + 7n * -5) -245 = 5n + (-5 + -35n) Reorder the terms: -245 = -5 + 5n + -35n Combine like terms: 5n + -35n = -30n -245 = -5 + -30n Solving -245 = -5 + -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. -245 + 30n = -5 + -30n + 30n Combine like terms: -30n + 30n = 0 -245 + 30n = -5 + 0 -245 + 30n = -5 Add '245' to each side of the equation. -245 + 245 + 30n = -5 + 245 Combine like terms: -245 + 245 = 0 0 + 30n = -5 + 245 30n = -5 + 245 Combine like terms: -5 + 245 = 240 30n = 240 Divide each side by '30'. n = 8 Simplifying n = 8
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