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Simplifying 4(3n + -3) + 2n = -12 + -2n Reorder the terms: 4(-3 + 3n) + 2n = -12 + -2n (-3 * 4 + 3n * 4) + 2n = -12 + -2n (-12 + 12n) + 2n = -12 + -2n Combine like terms: 12n + 2n = 14n -12 + 14n = -12 + -2n Add '12' to each side of the equation. -12 + 12 + 14n = -12 + 12 + -2n Combine like terms: -12 + 12 = 0 0 + 14n = -12 + 12 + -2n 14n = -12 + 12 + -2n Combine like terms: -12 + 12 = 0 14n = 0 + -2n 14n = -2n Solving 14n = -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 14n + 2n = -2n + 2n Combine like terms: 14n + 2n = 16n 16n = -2n + 2n Combine like terms: -2n + 2n = 0 16n = 0 Divide each side by '16'. n = 0 Simplifying n = 0
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