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Simplifying -4(6n + -1) = 36 + 8n Reorder the terms: -4(-1 + 6n) = 36 + 8n (-1 * -4 + 6n * -4) = 36 + 8n (4 + -24n) = 36 + 8n Solving 4 + -24n = 36 + 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. 4 + -24n + -8n = 36 + 8n + -8n Combine like terms: -24n + -8n = -32n 4 + -32n = 36 + 8n + -8n Combine like terms: 8n + -8n = 0 4 + -32n = 36 + 0 4 + -32n = 36 Add '-4' to each side of the equation. 4 + -4 + -32n = 36 + -4 Combine like terms: 4 + -4 = 0 0 + -32n = 36 + -4 -32n = 36 + -4 Combine like terms: 36 + -4 = 32 -32n = 32 Divide each side by '-32'. n = -1 Simplifying n = -1
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