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Simplifying -126 = -6(1 + 5n) -126 = (1 * -6 + 5n * -6) -126 = (-6 + -30n) Solving -126 = -6 + -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. -126 + 30n = -6 + -30n + 30n Combine like terms: -30n + 30n = 0 -126 + 30n = -6 + 0 -126 + 30n = -6 Add '126' to each side of the equation. -126 + 126 + 30n = -6 + 126 Combine like terms: -126 + 126 = 0 0 + 30n = -6 + 126 30n = -6 + 126 Combine like terms: -6 + 126 = 120 30n = 120 Divide each side by '30'. n = 4 Simplifying n = 4
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