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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 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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