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Simplifying 2n + -2(2n + -6) = 4 + -4n Reorder the terms: 2n + -2(-6 + 2n) = 4 + -4n 2n + (-6 * -2 + 2n * -2) = 4 + -4n 2n + (12 + -4n) = 4 + -4n Reorder the terms: 12 + 2n + -4n = 4 + -4n Combine like terms: 2n + -4n = -2n 12 + -2n = 4 + -4n Solving 12 + -2n = 4 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 12 + -2n + 4n = 4 + -4n + 4n Combine like terms: -2n + 4n = 2n 12 + 2n = 4 + -4n + 4n Combine like terms: -4n + 4n = 0 12 + 2n = 4 + 0 12 + 2n = 4 Add '-12' to each side of the equation. 12 + -12 + 2n = 4 + -12 Combine like terms: 12 + -12 = 0 0 + 2n = 4 + -12 2n = 4 + -12 Combine like terms: 4 + -12 = -8 2n = -8 Divide each side by '2'. n = -4 Simplifying n = -4
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