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Simplifying 14 + -8N = -2(5N + -2) Reorder the terms: 14 + -8N = -2(-2 + 5N) 14 + -8N = (-2 * -2 + 5N * -2) 14 + -8N = (4 + -10N) Solving 14 + -8N = 4 + -10N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '10N' to each side of the equation. 14 + -8N + 10N = 4 + -10N + 10N Combine like terms: -8N + 10N = 2N 14 + 2N = 4 + -10N + 10N Combine like terms: -10N + 10N = 0 14 + 2N = 4 + 0 14 + 2N = 4 Add '-14' to each side of the equation. 14 + -14 + 2N = 4 + -14 Combine like terms: 14 + -14 = 0 0 + 2N = 4 + -14 2N = 4 + -14 Combine like terms: 4 + -14 = -10 2N = -10 Divide each side by '2'. N = -5 Simplifying N = -5
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