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Simplifying 6(4n + 4) = 8(3 + 2n) Reorder the terms: 6(4 + 4n) = 8(3 + 2n) (4 * 6 + 4n * 6) = 8(3 + 2n) (24 + 24n) = 8(3 + 2n) 24 + 24n = (3 * 8 + 2n * 8) 24 + 24n = (24 + 16n) Add '-24' to each side of the equation. 24 + -24 + 24n = 24 + -24 + 16n Combine like terms: 24 + -24 = 0 0 + 24n = 24 + -24 + 16n 24n = 24 + -24 + 16n Combine like terms: 24 + -24 = 0 24n = 0 + 16n 24n = 16n Solving 24n = 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 24n + -16n = 16n + -16n Combine like terms: 24n + -16n = 8n 8n = 16n + -16n Combine like terms: 16n + -16n = 0 8n = 0 Divide each side by '8'. n = 0 Simplifying n = 0
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