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Simplifying -6(1 + -6n) = 6n + -36 (1 * -6 + -6n * -6) = 6n + -36 (-6 + 36n) = 6n + -36 Reorder the terms: -6 + 36n = -36 + 6n Solving -6 + 36n = -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 + 36n + -6n = -36 + 6n + -6n Combine like terms: 36n + -6n = 30n -6 + 30n = -36 + 6n + -6n Combine like terms: 6n + -6n = 0 -6 + 30n = -36 + 0 -6 + 30n = -36 Add '6' to each side of the equation. -6 + 6 + 30n = -36 + 6 Combine like terms: -6 + 6 = 0 0 + 30n = -36 + 6 30n = -36 + 6 Combine like terms: -36 + 6 = -30 30n = -30 Divide each side by '30'. n = -1 Simplifying n = -1
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