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Simplifying 2(14 + 14N) + -6 = -2(13 + -12N) (14 * 2 + 14N * 2) + -6 = -2(13 + -12N) (28 + 28N) + -6 = -2(13 + -12N) Reorder the terms: 28 + -6 + 28N = -2(13 + -12N) Combine like terms: 28 + -6 = 22 22 + 28N = -2(13 + -12N) 22 + 28N = (13 * -2 + -12N * -2) 22 + 28N = (-26 + 24N) Solving 22 + 28N = -26 + 24N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-24N' to each side of the equation. 22 + 28N + -24N = -26 + 24N + -24N Combine like terms: 28N + -24N = 4N 22 + 4N = -26 + 24N + -24N Combine like terms: 24N + -24N = 0 22 + 4N = -26 + 0 22 + 4N = -26 Add '-22' to each side of the equation. 22 + -22 + 4N = -26 + -22 Combine like terms: 22 + -22 = 0 0 + 4N = -26 + -22 4N = -26 + -22 Combine like terms: -26 + -22 = -48 4N = -48 Divide each side by '4'. N = -12 Simplifying N = -12
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