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Simplifying (2j + 8) + (5j + -2) = 0 Reorder the terms: (8 + 2j) + (5j + -2) = 0 Remove parenthesis around (8 + 2j) 8 + 2j + (5j + -2) = 0 Reorder the terms: 8 + 2j + (-2 + 5j) = 0 Remove parenthesis around (-2 + 5j) 8 + 2j + -2 + 5j = 0 Reorder the terms: 8 + -2 + 2j + 5j = 0 Combine like terms: 8 + -2 = 6 6 + 2j + 5j = 0 Combine like terms: 2j + 5j = 7j 6 + 7j = 0 Solving 6 + 7j = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7j = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7j = 0 + -6 7j = 0 + -6 Combine like terms: 0 + -6 = -6 7j = -6 Divide each side by '7'. j = -0.8571428571 Simplifying j = -0.8571428571
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