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Simplifying 2(6 + -2n) = -3(-2 + 2n) (6 * 2 + -2n * 2) = -3(-2 + 2n) (12 + -4n) = -3(-2 + 2n) 12 + -4n = (-2 * -3 + 2n * -3) 12 + -4n = (6 + -6n) Solving 12 + -4n = 6 + -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. 12 + -4n + 6n = 6 + -6n + 6n Combine like terms: -4n + 6n = 2n 12 + 2n = 6 + -6n + 6n Combine like terms: -6n + 6n = 0 12 + 2n = 6 + 0 12 + 2n = 6 Add '-12' to each side of the equation. 12 + -12 + 2n = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 2n = 6 + -12 2n = 6 + -12 Combine like terms: 6 + -12 = -6 2n = -6 Divide each side by '2'. n = -3 Simplifying n = -3
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