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Simplifying 4(1 + -8n) + -5n = -292 (1 * 4 + -8n * 4) + -5n = -292 (4 + -32n) + -5n = -292 Combine like terms: -32n + -5n = -37n 4 + -37n = -292 Solving 4 + -37n = -292 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -37n = -292 + -4 Combine like terms: 4 + -4 = 0 0 + -37n = -292 + -4 -37n = -292 + -4 Combine like terms: -292 + -4 = -296 -37n = -296 Divide each side by '-37'. n = 8 Simplifying n = 8
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