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Simplifying 3(10n + -10) + 6(10 + 5n) = 0 Reorder the terms: 3(-10 + 10n) + 6(10 + 5n) = 0 (-10 * 3 + 10n * 3) + 6(10 + 5n) = 0 (-30 + 30n) + 6(10 + 5n) = 0 -30 + 30n + (10 * 6 + 5n * 6) = 0 -30 + 30n + (60 + 30n) = 0 Reorder the terms: -30 + 60 + 30n + 30n = 0 Combine like terms: -30 + 60 = 30 30 + 30n + 30n = 0 Combine like terms: 30n + 30n = 60n 30 + 60n = 0 Solving 30 + 60n = 0 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 + 60n = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 60n = 0 + -30 60n = 0 + -30 Combine like terms: 0 + -30 = -30 60n = -30 Divide each side by '60'. n = -0.5 Simplifying n = -0.5
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