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Simplifying -12(2 + n) = -3(3n + 9) (2 * -12 + n * -12) = -3(3n + 9) (-24 + -12n) = -3(3n + 9) Reorder the terms: -24 + -12n = -3(9 + 3n) -24 + -12n = (9 * -3 + 3n * -3) -24 + -12n = (-27 + -9n) Solving -24 + -12n = -27 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. -24 + -12n + 9n = -27 + -9n + 9n Combine like terms: -12n + 9n = -3n -24 + -3n = -27 + -9n + 9n Combine like terms: -9n + 9n = 0 -24 + -3n = -27 + 0 -24 + -3n = -27 Add '24' to each side of the equation. -24 + 24 + -3n = -27 + 24 Combine like terms: -24 + 24 = 0 0 + -3n = -27 + 24 -3n = -27 + 24 Combine like terms: -27 + 24 = -3 -3n = -3 Divide each side by '-3'. n = 1 Simplifying n = 1
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