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Simplifying 2(1 + -2n) = 2n + 8 (1 * 2 + -2n * 2) = 2n + 8 (2 + -4n) = 2n + 8 Reorder the terms: 2 + -4n = 8 + 2n Solving 2 + -4n = 8 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 2 + -4n + -2n = 8 + 2n + -2n Combine like terms: -4n + -2n = -6n 2 + -6n = 8 + 2n + -2n Combine like terms: 2n + -2n = 0 2 + -6n = 8 + 0 2 + -6n = 8 Add '-2' to each side of the equation. 2 + -2 + -6n = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -6n = 8 + -2 -6n = 8 + -2 Combine like terms: 8 + -2 = 6 -6n = 6 Divide each side by '-6'. n = -1 Simplifying n = -1
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