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Simplifying -6(1 + 8n) = 282 (1 * -6 + 8n * -6) = 282 (-6 + -48n) = 282 Solving -6 + -48n = 282 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -48n = 282 + 6 Combine like terms: -6 + 6 = 0 0 + -48n = 282 + 6 -48n = 282 + 6 Combine like terms: 282 + 6 = 288 -48n = 288 Divide each side by '-48'. n = -6 Simplifying n = -6
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