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Simplifying -3(3n + 1) = 12n + -3(1 + -3n) Reorder the terms: -3(1 + 3n) = 12n + -3(1 + -3n) (1 * -3 + 3n * -3) = 12n + -3(1 + -3n) (-3 + -9n) = 12n + -3(1 + -3n) -3 + -9n = 12n + (1 * -3 + -3n * -3) -3 + -9n = 12n + (-3 + 9n) Reorder the terms: -3 + -9n = -3 + 12n + 9n Combine like terms: 12n + 9n = 21n -3 + -9n = -3 + 21n Add '3' to each side of the equation. -3 + 3 + -9n = -3 + 3 + 21n Combine like terms: -3 + 3 = 0 0 + -9n = -3 + 3 + 21n -9n = -3 + 3 + 21n Combine like terms: -3 + 3 = 0 -9n = 0 + 21n -9n = 21n Solving -9n = 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. -9n + -21n = 21n + -21n Combine like terms: -9n + -21n = -30n -30n = 21n + -21n Combine like terms: 21n + -21n = 0 -30n = 0 Divide each side by '-30'. n = 0.0 Simplifying n = 0.0
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