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Simplifying 3(2n + 4) = -2(3n + 6) Reorder the terms: 3(4 + 2n) = -2(3n + 6) (4 * 3 + 2n * 3) = -2(3n + 6) (12 + 6n) = -2(3n + 6) Reorder the terms: 12 + 6n = -2(6 + 3n) 12 + 6n = (6 * -2 + 3n * -2) 12 + 6n = (-12 + -6n) Solving 12 + 6n = -12 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 12 + 6n + 6n = -12 + -6n + 6n Combine like terms: 6n + 6n = 12n 12 + 12n = -12 + -6n + 6n Combine like terms: -6n + 6n = 0 12 + 12n = -12 + 0 12 + 12n = -12 Add '-12' to each side of the equation. 12 + -12 + 12n = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 12n = -12 + -12 12n = -12 + -12 Combine like terms: -12 + -12 = -24 12n = -24 Divide each side by '12'. n = -2 Simplifying n = -2
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