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Simplifying (6 + -6j) + -1(5 + -5j) = 0 Remove parenthesis around (6 + -6j) 6 + -6j + -1(5 + -5j) = 0 6 + -6j + (5 * -1 + -5j * -1) = 0 6 + -6j + (-5 + 5j) = 0 Reorder the terms: 6 + -5 + -6j + 5j = 0 Combine like terms: 6 + -5 = 1 1 + -6j + 5j = 0 Combine like terms: -6j + 5j = -1j 1 + -1j = 0 Solving 1 + -1j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1j = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1j = 0 + -1 -1j = 0 + -1 Combine like terms: 0 + -1 = -1 -1j = -1 Divide each side by '-1'. j = 1 Simplifying j = 1
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