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Simplifying 12n = 3(3n + -11) + -18 Reorder the terms: 12n = 3(-11 + 3n) + -18 12n = (-11 * 3 + 3n * 3) + -18 12n = (-33 + 9n) + -18 Reorder the terms: 12n = -33 + -18 + 9n Combine like terms: -33 + -18 = -51 12n = -51 + 9n Solving 12n = -51 + 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. 12n + -9n = -51 + 9n + -9n Combine like terms: 12n + -9n = 3n 3n = -51 + 9n + -9n Combine like terms: 9n + -9n = 0 3n = -51 + 0 3n = -51 Divide each side by '3'. n = -17 Simplifying n = -17
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