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Simplifying 6(4N + -5) + 12 = -12N Reorder the terms: 6(-5 + 4N) + 12 = -12N (-5 * 6 + 4N * 6) + 12 = -12N (-30 + 24N) + 12 = -12N Reorder the terms: -30 + 12 + 24N = -12N Combine like terms: -30 + 12 = -18 -18 + 24N = -12N Solving -18 + 24N = -12N Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '12N' to each side of the equation. -18 + 24N + 12N = -12N + 12N Combine like terms: 24N + 12N = 36N -18 + 36N = -12N + 12N Combine like terms: -12N + 12N = 0 -18 + 36N = 0 Add '18' to each side of the equation. -18 + 18 + 36N = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 36N = 0 + 18 36N = 0 + 18 Combine like terms: 0 + 18 = 18 36N = 18 Divide each side by '36'. N = 0.5 Simplifying N = 0.5
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