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Simplifying -5(6n + 6) + -30 = 30 Reorder the terms: -5(6 + 6n) + -30 = 30 (6 * -5 + 6n * -5) + -30 = 30 (-30 + -30n) + -30 = 30 Reorder the terms: -30 + -30 + -30n = 30 Combine like terms: -30 + -30 = -60 -60 + -30n = 30 Solving -60 + -30n = 30 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + -30n = 30 + 60 Combine like terms: -60 + 60 = 0 0 + -30n = 30 + 60 -30n = 30 + 60 Combine like terms: 30 + 60 = 90 -30n = 90 Divide each side by '-30'. n = -3 Simplifying n = -3
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