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Simplifying (N + -6)(n + -5) = 90 Reorder the terms: (-6 + N)(n + -5) = 90 Reorder the terms: (-6 + N)(-5 + n) = 90 Multiply (-6 + N) * (-5 + n) (-6(-5 + n) + N(-5 + n)) = 90 ((-5 * -6 + n * -6) + N(-5 + n)) = 90 ((30 + -6n) + N(-5 + n)) = 90 (30 + -6n + (-5 * N + n * N)) = 90 (30 + -6n + (-5N + nN)) = 90 Reorder the terms: (30 + -5N + -6n + nN) = 90 (30 + -5N + -6n + nN) = 90 Solving 30 + -5N + -6n + nN = 90 Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -5N + -6n + -30 + nN = 90 + -30 Reorder the terms: 30 + -30 + -5N + -6n + nN = 90 + -30 Combine like terms: 30 + -30 = 0 0 + -5N + -6n + nN = 90 + -30 -5N + -6n + nN = 90 + -30 Combine like terms: 90 + -30 = 60 -5N + -6n + nN = 60 Add '6n' to each side of the equation. -5N + -6n + 6n + nN = 60 + 6n Combine like terms: -6n + 6n = 0 -5N + 0 + nN = 60 + 6n -5N + nN = 60 + 6n Reorder the terms: -60 + -5N + -6n + nN = 60 + 6n + -60 + -6n Reorder the terms: -60 + -5N + -6n + nN = 60 + -60 + 6n + -6n Combine like terms: 60 + -60 = 0 -60 + -5N + -6n + nN = 0 + 6n + -6n -60 + -5N + -6n + nN = 6n + -6n Combine like terms: 6n + -6n = 0 -60 + -5N + -6n + nN = 0 The solution to this equation could not be determined.
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