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Simplifying 4(3n + 2) = 2(4 + 1n) Reorder the terms: 4(2 + 3n) = 2(4 + 1n) (2 * 4 + 3n * 4) = 2(4 + 1n) (8 + 12n) = 2(4 + 1n) 8 + 12n = (4 * 2 + 1n * 2) 8 + 12n = (8 + 2n) Add '-8' to each side of the equation. 8 + -8 + 12n = 8 + -8 + 2n Combine like terms: 8 + -8 = 0 0 + 12n = 8 + -8 + 2n 12n = 8 + -8 + 2n Combine like terms: 8 + -8 = 0 12n = 0 + 2n 12n = 2n Solving 12n = 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. 12n + -2n = 2n + -2n Combine like terms: 12n + -2n = 10n 10n = 2n + -2n Combine like terms: 2n + -2n = 0 10n = 0 Divide each side by '10'. n = 0.0 Simplifying n = 0.0
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