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Simplifying (7j + -1) + -1(8j + -9) = 0 Reorder the terms: (-1 + 7j) + -1(8j + -9) = 0 Remove parenthesis around (-1 + 7j) -1 + 7j + -1(8j + -9) = 0 Reorder the terms: -1 + 7j + -1(-9 + 8j) = 0 -1 + 7j + (-9 * -1 + 8j * -1) = 0 -1 + 7j + (9 + -8j) = 0 Reorder the terms: -1 + 9 + 7j + -8j = 0 Combine like terms: -1 + 9 = 8 8 + 7j + -8j = 0 Combine like terms: 7j + -8j = -1j 8 + -1j = 0 Solving 8 + -1j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1j = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1j = 0 + -8 -1j = 0 + -8 Combine like terms: 0 + -8 = -8 -1j = -8 Divide each side by '-1'. j = 8 Simplifying j = 8
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