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Simplifying 4 + n = 12n + -9n + -18 Reorder the terms: 4 + n = -18 + 12n + -9n Combine like terms: 12n + -9n = 3n 4 + n = -18 + 3n Solving 4 + n = -18 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 4 + n + -3n = -18 + 3n + -3n Combine like terms: n + -3n = -2n 4 + -2n = -18 + 3n + -3n Combine like terms: 3n + -3n = 0 4 + -2n = -18 + 0 4 + -2n = -18 Add '-4' to each side of the equation. 4 + -4 + -2n = -18 + -4 Combine like terms: 4 + -4 = 0 0 + -2n = -18 + -4 -2n = -18 + -4 Combine like terms: -18 + -4 = -22 -2n = -22 Divide each side by '-2'. n = 11 Simplifying n = 11
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