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Simplifying -272 = -6(5 + -5n) + -2 -272 = (5 * -6 + -5n * -6) + -2 -272 = (-30 + 30n) + -2 Reorder the terms: -272 = -30 + -2 + 30n Combine like terms: -30 + -2 = -32 -272 = -32 + 30n Solving -272 = -32 + 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. -272 + -30n = -32 + 30n + -30n Combine like terms: 30n + -30n = 0 -272 + -30n = -32 + 0 -272 + -30n = -32 Add '272' to each side of the equation. -272 + 272 + -30n = -32 + 272 Combine like terms: -272 + 272 = 0 0 + -30n = -32 + 272 -30n = -32 + 272 Combine like terms: -32 + 272 = 240 -30n = 240 Divide each side by '-30'. n = -8 Simplifying n = -8
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