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Simplifying (N + 3)(5n + 7) = 0 Reorder the terms: (3 + N)(5n + 7) = 0 Reorder the terms: (3 + N)(7 + 5n) = 0 Multiply (3 + N) * (7 + 5n) (3(7 + 5n) + N(7 + 5n)) = 0 ((7 * 3 + 5n * 3) + N(7 + 5n)) = 0 ((21 + 15n) + N(7 + 5n)) = 0 (21 + 15n + (7 * N + 5n * N)) = 0 (21 + 15n + (7N + 5nN)) = 0 Reorder the terms: (21 + 7N + 15n + 5nN) = 0 (21 + 7N + 15n + 5nN) = 0 Solving 21 + 7N + 15n + 5nN = 0 Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 7N + 15n + -21 + 5nN = 0 + -21 Reorder the terms: 21 + -21 + 7N + 15n + 5nN = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 7N + 15n + 5nN = 0 + -21 7N + 15n + 5nN = 0 + -21 Combine like terms: 0 + -21 = -21 7N + 15n + 5nN = -21 Add '-15n' to each side of the equation. 7N + 15n + -15n + 5nN = -21 + -15n Combine like terms: 15n + -15n = 0 7N + 0 + 5nN = -21 + -15n 7N + 5nN = -21 + -15n Reorder the terms: 21 + 7N + 15n + 5nN = -21 + -15n + 21 + 15n Reorder the terms: 21 + 7N + 15n + 5nN = -21 + 21 + -15n + 15n Combine like terms: -21 + 21 = 0 21 + 7N + 15n + 5nN = 0 + -15n + 15n 21 + 7N + 15n + 5nN = -15n + 15n Combine like terms: -15n + 15n = 0 21 + 7N + 15n + 5nN = 0 The solution to this equation could not be determined.
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