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Simplifying -2(-1n + -2) = 12 + 6n Reorder the terms: -2(-2 + -1n) = 12 + 6n (-2 * -2 + -1n * -2) = 12 + 6n (4 + 2n) = 12 + 6n Solving 4 + 2n = 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. 4 + 2n + -6n = 12 + 6n + -6n Combine like terms: 2n + -6n = -4n 4 + -4n = 12 + 6n + -6n Combine like terms: 6n + -6n = 0 4 + -4n = 12 + 0 4 + -4n = 12 Add '-4' to each side of the equation. 4 + -4 + -4n = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -4n = 12 + -4 -4n = 12 + -4 Combine like terms: 12 + -4 = 8 -4n = 8 Divide each side by '-4'. n = -2 Simplifying n = -2
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