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Simplifying 2(1 + 2n) = 12 + 6n (1 * 2 + 2n * 2) = 12 + 6n (2 + 4n) = 12 + 6n Solving 2 + 4n = 12 + 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. 2 + 4n + -6n = 12 + 6n + -6n Combine like terms: 4n + -6n = -2n 2 + -2n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 2 + -2n = 12 + 0 2 + -2n = 12 Add '-2' to each side of the equation. 2 + -2 + -2n = 12 + -2 Combine like terms: 2 + -2 = 0 0 + -2n = 12 + -2 -2n = 12 + -2 Combine like terms: 12 + -2 = 10 -2n = 10 Divide each side by '-2'. n = -5 Simplifying n = -5
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