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Simplifying 2(3 + -7n) + -6(-2 + 2n) = -8 (3 * 2 + -7n * 2) + -6(-2 + 2n) = -8 (6 + -14n) + -6(-2 + 2n) = -8 6 + -14n + (-2 * -6 + 2n * -6) = -8 6 + -14n + (12 + -12n) = -8 Reorder the terms: 6 + 12 + -14n + -12n = -8 Combine like terms: 6 + 12 = 18 18 + -14n + -12n = -8 Combine like terms: -14n + -12n = -26n 18 + -26n = -8 Solving 18 + -26n = -8 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -26n = -8 + -18 Combine like terms: 18 + -18 = 0 0 + -26n = -8 + -18 -26n = -8 + -18 Combine like terms: -8 + -18 = -26 -26n = -26 Divide each side by '-26'. n = 1 Simplifying n = 1
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