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Simplifying -6(1 + -8n) = 6n + 36 (1 * -6 + -8n * -6) = 6n + 36 (-6 + 48n) = 6n + 36 Reorder the terms: -6 + 48n = 36 + 6n Solving -6 + 48n = 36 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -6 + 48n + -6n = 36 + 6n + -6n Combine like terms: 48n + -6n = 42n -6 + 42n = 36 + 6n + -6n Combine like terms: 6n + -6n = 0 -6 + 42n = 36 + 0 -6 + 42n = 36 Add '6' to each side of the equation. -6 + 6 + 42n = 36 + 6 Combine like terms: -6 + 6 = 0 0 + 42n = 36 + 6 42n = 36 + 6 Combine like terms: 36 + 6 = 42 42n = 42 Divide each side by '42'. n = 1 Simplifying n = 1
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