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Simplifying N + 8 = -2N + 2 Reorder the terms: 8 + N = -2N + 2 Reorder the terms: 8 + N = 2 + -2N Solving 8 + N = 2 + -2N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '2N' to each side of the equation. 8 + N + 2N = 2 + -2N + 2N Combine like terms: N + 2N = 3N 8 + 3N = 2 + -2N + 2N Combine like terms: -2N + 2N = 0 8 + 3N = 2 + 0 8 + 3N = 2 Add '-8' to each side of the equation. 8 + -8 + 3N = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 3N = 2 + -8 3N = 2 + -8 Combine like terms: 2 + -8 = -6 3N = -6 Divide each side by '3'. N = -2 Simplifying N = -2
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