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Simplifying N(4n + 2) + -7n(6n + -3) = 0 Reorder the terms: N(2 + 4n) + -7n(6n + -3) = 0 (2 * N + 4n * N) + -7n(6n + -3) = 0 (2N + 4nN) + -7n(6n + -3) = 0 Reorder the terms: 2N + 4nN + -7n(-3 + 6n) = 0 2N + 4nN + (-3 * -7n + 6n * -7n) = 0 2N + 4nN + (21n + -42n2) = 0 Reorder the terms: 2N + 21n + 4nN + -42n2 = 0 Solving 2N + 21n + 4nN + -42n2 = 0 Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '-21n' to each side of the equation. 2N + 21n + 4nN + -21n + -42n2 = 0 + -21n Reorder the terms: 2N + 21n + -21n + 4nN + -42n2 = 0 + -21n Combine like terms: 21n + -21n = 0 2N + 0 + 4nN + -42n2 = 0 + -21n 2N + 4nN + -42n2 = 0 + -21n Remove the zero: 2N + 4nN + -42n2 = -21n Add '42n2' to each side of the equation. 2N + 4nN + -42n2 + 42n2 = -21n + 42n2 Combine like terms: -42n2 + 42n2 = 0 2N + 4nN + 0 = -21n + 42n2 2N + 4nN = -21n + 42n2 Reorder the terms: 2N + 21n + 4nN + -42n2 = -21n + 42n2 + 21n + -42n2 Reorder the terms: 2N + 21n + 4nN + -42n2 = -21n + 21n + 42n2 + -42n2 Combine like terms: -21n + 21n = 0 2N + 21n + 4nN + -42n2 = 0 + 42n2 + -42n2 2N + 21n + 4nN + -42n2 = 42n2 + -42n2 Combine like terms: 42n2 + -42n2 = 0 2N + 21n + 4nN + -42n2 = 0 The solution to this equation could not be determined.
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