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Simplifying 2(6 + -3n) + 2n = -6(n + 2) (6 * 2 + -3n * 2) + 2n = -6(n + 2) (12 + -6n) + 2n = -6(n + 2) Combine like terms: -6n + 2n = -4n 12 + -4n = -6(n + 2) Reorder the terms: 12 + -4n = -6(2 + n) 12 + -4n = (2 * -6 + n * -6) 12 + -4n = (-12 + -6n) Solving 12 + -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. 12 + -4n + 6n = -12 + -6n + 6n Combine like terms: -4n + 6n = 2n 12 + 2n = -12 + -6n + 6n Combine like terms: -6n + 6n = 0 12 + 2n = -12 + 0 12 + 2n = -12 Add '-12' to each side of the equation. 12 + -12 + 2n = -12 + -12 Combine like terms: 12 + -12 = 0 0 + 2n = -12 + -12 2n = -12 + -12 Combine like terms: -12 + -12 = -24 2n = -24 Divide each side by '2'. n = -12 Simplifying n = -12
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