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Simplifying 30 = -2(1 + 2N) + 8(N + 8) 30 = (1 * -2 + 2N * -2) + 8(N + 8) 30 = (-2 + -4N) + 8(N + 8) Reorder the terms: 30 = -2 + -4N + 8(8 + N) 30 = -2 + -4N + (8 * 8 + N * 8) 30 = -2 + -4N + (64 + 8N) Reorder the terms: 30 = -2 + 64 + -4N + 8N Combine like terms: -2 + 64 = 62 30 = 62 + -4N + 8N Combine like terms: -4N + 8N = 4N 30 = 62 + 4N Solving 30 = 62 + 4N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-4N' to each side of the equation. 30 + -4N = 62 + 4N + -4N Combine like terms: 4N + -4N = 0 30 + -4N = 62 + 0 30 + -4N = 62 Add '-30' to each side of the equation. 30 + -30 + -4N = 62 + -30 Combine like terms: 30 + -30 = 0 0 + -4N = 62 + -30 -4N = 62 + -30 Combine like terms: 62 + -30 = 32 -4N = 32 Divide each side by '-4'. N = -8 Simplifying N = -8
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