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Simplifying (6e + -7)(2 + -1j) = 0 Reorder the terms: (-7 + 6e)(2 + -1j) = 0 Multiply (-7 + 6e) * (2 + -1j) (-7(2 + -1j) + 6e * (2 + -1j)) = 0 ((2 * -7 + -1j * -7) + 6e * (2 + -1j)) = 0 ((-14 + 7j) + 6e * (2 + -1j)) = 0 (-14 + 7j + (2 * 6e + -1j * 6e)) = 0 (-14 + 7j + (12e + -6ej)) = 0 Reorder the terms: (-14 + 12e + -6ej + 7j) = 0 (-14 + 12e + -6ej + 7j) = 0 Solving -14 + 12e + -6ej + 7j = 0 Solving for variable 'e'. Move all terms containing e to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 12e + -6ej + 14 + 7j = 0 + 14 Reorder the terms: -14 + 14 + 12e + -6ej + 7j = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 12e + -6ej + 7j = 0 + 14 12e + -6ej + 7j = 0 + 14 Combine like terms: 0 + 14 = 14 12e + -6ej + 7j = 14 Add '-7j' to each side of the equation. 12e + -6ej + 7j + -7j = 14 + -7j Combine like terms: 7j + -7j = 0 12e + -6ej + 0 = 14 + -7j 12e + -6ej = 14 + -7j Reorder the terms: -14 + 12e + -6ej + 7j = 14 + -7j + -14 + 7j Reorder the terms: -14 + 12e + -6ej + 7j = 14 + -14 + -7j + 7j Combine like terms: 14 + -14 = 0 -14 + 12e + -6ej + 7j = 0 + -7j + 7j -14 + 12e + -6ej + 7j = -7j + 7j Combine like terms: -7j + 7j = 0 -14 + 12e + -6ej + 7j = 0 The solution to this equation could not be determined.
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