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Simplifying -8(4 + -3n) = 4(4n + 4) (4 * -8 + -3n * -8) = 4(4n + 4) (-32 + 24n) = 4(4n + 4) Reorder the terms: -32 + 24n = 4(4 + 4n) -32 + 24n = (4 * 4 + 4n * 4) -32 + 24n = (16 + 16n) Solving -32 + 24n = 16 + 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. -32 + 24n + -16n = 16 + 16n + -16n Combine like terms: 24n + -16n = 8n -32 + 8n = 16 + 16n + -16n Combine like terms: 16n + -16n = 0 -32 + 8n = 16 + 0 -32 + 8n = 16 Add '32' to each side of the equation. -32 + 32 + 8n = 16 + 32 Combine like terms: -32 + 32 = 0 0 + 8n = 16 + 32 8n = 16 + 32 Combine like terms: 16 + 32 = 48 8n = 48 Divide each side by '8'. n = 6 Simplifying n = 6
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