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Simplifying 4(3 + n) = 3(8 + 2n) (3 * 4 + n * 4) = 3(8 + 2n) (12 + 4n) = 3(8 + 2n) 12 + 4n = (8 * 3 + 2n * 3) 12 + 4n = (24 + 6n) Solving 12 + 4n = 24 + 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 + 4n + -6n = 24 + 6n + -6n Combine like terms: 4n + -6n = -2n 12 + -2n = 24 + 6n + -6n Combine like terms: 6n + -6n = 0 12 + -2n = 24 + 0 12 + -2n = 24 Add '-12' to each side of the equation. 12 + -12 + -2n = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -2n = 24 + -12 -2n = 24 + -12 Combine like terms: 24 + -12 = 12 -2n = 12 Divide each side by '-2'. n = -6 Simplifying n = -6
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