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Simplifying (8(N + 4) + -18) + -1(2(N + -4) + 2) = 0 Reorder the terms: (8(4 + N) + -18) + -1(2(N + -4) + 2) = 0 ((4 * 8 + N * 8) + -18) + -1(2(N + -4) + 2) = 0 ((32 + 8N) + -18) + -1(2(N + -4) + 2) = 0 Reorder the terms: (32 + -18 + 8N) + -1(2(N + -4) + 2) = 0 Combine like terms: 32 + -18 = 14 (14 + 8N) + -1(2(N + -4) + 2) = 0 Remove parenthesis around (14 + 8N) 14 + 8N + -1(2(N + -4) + 2) = 0 Reorder the terms: 14 + 8N + -1(2(-4 + N) + 2) = 0 14 + 8N + -1((-4 * 2 + N * 2) + 2) = 0 14 + 8N + -1((-8 + 2N) + 2) = 0 Reorder the terms: 14 + 8N + -1(-8 + 2 + 2N) = 0 Combine like terms: -8 + 2 = -6 14 + 8N + -1(-6 + 2N) = 0 14 + 8N + (-6 * -1 + 2N * -1) = 0 14 + 8N + (6 + -2N) = 0 Reorder the terms: 14 + 6 + 8N + -2N = 0 Combine like terms: 14 + 6 = 20 20 + 8N + -2N = 0 Combine like terms: 8N + -2N = 6N 20 + 6N = 0 Solving 20 + 6N = 0 Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 6N = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 6N = 0 + -20 6N = 0 + -20 Combine like terms: 0 + -20 = -20 6N = -20 Divide each side by '6'. N = -3.333333333 Simplifying N = -3.333333333
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