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Simplifying -20 = 4(-8 + 3N) + -2(-6 + -1N) -20 = (-8 * 4 + 3N * 4) + -2(-6 + -1N) -20 = (-32 + 12N) + -2(-6 + -1N) -20 = -32 + 12N + (-6 * -2 + -1N * -2) -20 = -32 + 12N + (12 + 2N) Reorder the terms: -20 = -32 + 12 + 12N + 2N Combine like terms: -32 + 12 = -20 -20 = -20 + 12N + 2N Combine like terms: 12N + 2N = 14N -20 = -20 + 14N Add '20' to each side of the equation. -20 + 20 = -20 + 20 + 14N Combine like terms: -20 + 20 = 0 0 = -20 + 20 + 14N Combine like terms: -20 + 20 = 0 0 = 0 + 14N 0 = 14N Solving 0 = 14N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-14N' to each side of the equation. 0 + -14N = 14N + -14N Remove the zero: -14N = 14N + -14N Combine like terms: 14N + -14N = 0 -14N = 0 Divide each side by '-14'. N = 0 Simplifying N = 0
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