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Simplifying -125 = -5(6n + 1) Reorder the terms: -125 = -5(1 + 6n) -125 = (1 * -5 + 6n * -5) -125 = (-5 + -30n) Solving -125 = -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. -125 + 30n = -5 + -30n + 30n Combine like terms: -30n + 30n = 0 -125 + 30n = -5 + 0 -125 + 30n = -5 Add '125' to each side of the equation. -125 + 125 + 30n = -5 + 125 Combine like terms: -125 + 125 = 0 0 + 30n = -5 + 125 30n = -5 + 125 Combine like terms: -5 + 125 = 120 30n = 120 Divide each side by '30'. n = 4 Simplifying n = 4
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