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Simplifying 6 + 6(5n + -6) = 150 Reorder the terms: 6 + 6(-6 + 5n) = 150 6 + (-6 * 6 + 5n * 6) = 150 6 + (-36 + 30n) = 150 Combine like terms: 6 + -36 = -30 -30 + 30n = 150 Solving -30 + 30n = 150 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 30n = 150 + 30 Combine like terms: -30 + 30 = 0 0 + 30n = 150 + 30 30n = 150 + 30 Combine like terms: 150 + 30 = 180 30n = 180 Divide each side by '30'. n = 6 Simplifying n = 6
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