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Simplifying 2(4n + 64) = 24n Reorder the terms: 2(64 + 4n) = 24n (64 * 2 + 4n * 2) = 24n (128 + 8n) = 24n Solving 128 + 8n = 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 128 + 8n + -24n = 24n + -24n Combine like terms: 8n + -24n = -16n 128 + -16n = 24n + -24n Combine like terms: 24n + -24n = 0 128 + -16n = 0 Add '-128' to each side of the equation. 128 + -128 + -16n = 0 + -128 Combine like terms: 128 + -128 = 0 0 + -16n = 0 + -128 -16n = 0 + -128 Combine like terms: 0 + -128 = -128 -16n = -128 Divide each side by '-16'. n = 8 Simplifying n = 8
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