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Simplifying -4(6n + 8) = 8n Reorder the terms: -4(8 + 6n) = 8n (8 * -4 + 6n * -4) = 8n (-32 + -24n) = 8n Solving -32 + -24n = 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -32 + -24n + -8n = 8n + -8n Combine like terms: -24n + -8n = -32n -32 + -32n = 8n + -8n Combine like terms: 8n + -8n = 0 -32 + -32n = 0 Add '32' to each side of the equation. -32 + 32 + -32n = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -32n = 0 + 32 -32n = 0 + 32 Combine like terms: 0 + 32 = 32 -32n = 32 Divide each side by '-32'. n = -1 Simplifying n = -1
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