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Simplifying 3(n + 4) = -3(4 + n) Reorder the terms: 3(4 + n) = -3(4 + n) (4 * 3 + n * 3) = -3(4 + n) (12 + 3n) = -3(4 + n) 12 + 3n = (4 * -3 + n * -3) 12 + 3n = (-12 + -3n) Solving 12 + 3n = -12 + -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. 12 + 3n + 3n = -12 + -3n + 3n Combine like terms: 3n + 3n = 6n 12 + 6n = -12 + -3n + 3n Combine like terms: -3n + 3n = 0 12 + 6n = -12 + 0 12 + 6n = -12 Add '-12' to each side of the equation. 12 + -12 + 6n = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 6n = -12 + -12 6n = -12 + -12 Combine like terms: -12 + -12 = -24 6n = -24 Divide each side by '6'. n = -4 Simplifying n = -4
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