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Simplifying -6(8n + 1) = 90 Reorder the terms: -6(1 + 8n) = 90 (1 * -6 + 8n * -6) = 90 (-6 + -48n) = 90 Solving -6 + -48n = 90 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 = 90 + 6 Combine like terms: -6 + 6 = 0 0 + -48n = 90 + 6 -48n = 90 + 6 Combine like terms: 90 + 6 = 96 -48n = 96 Divide each side by '-48'. n = -2 Simplifying n = -2
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