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Simplifying 18 = -6(1 + -6n) + -2(3 + 3n) 18 = (1 * -6 + -6n * -6) + -2(3 + 3n) 18 = (-6 + 36n) + -2(3 + 3n) 18 = -6 + 36n + (3 * -2 + 3n * -2) 18 = -6 + 36n + (-6 + -6n) Reorder the terms: 18 = -6 + -6 + 36n + -6n Combine like terms: -6 + -6 = -12 18 = -12 + 36n + -6n Combine like terms: 36n + -6n = 30n 18 = -12 + 30n Solving 18 = -12 + 30n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30n' to each side of the equation. 18 + -30n = -12 + 30n + -30n Combine like terms: 30n + -30n = 0 18 + -30n = -12 + 0 18 + -30n = -12 Add '-18' to each side of the equation. 18 + -18 + -30n = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -30n = -12 + -18 -30n = -12 + -18 Combine like terms: -12 + -18 = -30 -30n = -30 Divide each side by '-30'. n = 1 Simplifying n = 1
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