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Simplifying (N + -8)(5n + 2) = 0 Reorder the terms: (-8 + N)(5n + 2) = 0 Reorder the terms: (-8 + N)(2 + 5n) = 0 Multiply (-8 + N) * (2 + 5n) (-8(2 + 5n) + N(2 + 5n)) = 0 ((2 * -8 + 5n * -8) + N(2 + 5n)) = 0 ((-16 + -40n) + N(2 + 5n)) = 0 (-16 + -40n + (2 * N + 5n * N)) = 0 (-16 + -40n + (2N + 5nN)) = 0 Reorder the terms: (-16 + 2N + -40n + 5nN) = 0 (-16 + 2N + -40n + 5nN) = 0 Solving -16 + 2N + -40n + 5nN = 0 Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 2N + -40n + 16 + 5nN = 0 + 16 Reorder the terms: -16 + 16 + 2N + -40n + 5nN = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 2N + -40n + 5nN = 0 + 16 2N + -40n + 5nN = 0 + 16 Combine like terms: 0 + 16 = 16 2N + -40n + 5nN = 16 Add '40n' to each side of the equation. 2N + -40n + 40n + 5nN = 16 + 40n Combine like terms: -40n + 40n = 0 2N + 0 + 5nN = 16 + 40n 2N + 5nN = 16 + 40n Reorder the terms: -16 + 2N + -40n + 5nN = 16 + 40n + -16 + -40n Reorder the terms: -16 + 2N + -40n + 5nN = 16 + -16 + 40n + -40n Combine like terms: 16 + -16 = 0 -16 + 2N + -40n + 5nN = 0 + 40n + -40n -16 + 2N + -40n + 5nN = 40n + -40n Combine like terms: 40n + -40n = 0 -16 + 2N + -40n + 5nN = 0 The solution to this equation could not be determined.
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