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Simplifying 6 + 6j + -12 = 4 + 4j Reorder the terms: 6 + -12 + 6j = 4 + 4j Combine like terms: 6 + -12 = -6 -6 + 6j = 4 + 4j Solving -6 + 6j = 4 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. -6 + 6j + -4j = 4 + 4j + -4j Combine like terms: 6j + -4j = 2j -6 + 2j = 4 + 4j + -4j Combine like terms: 4j + -4j = 0 -6 + 2j = 4 + 0 -6 + 2j = 4 Add '6' to each side of the equation. -6 + 6 + 2j = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 2j = 4 + 6 2j = 4 + 6 Combine like terms: 4 + 6 = 10 2j = 10 Divide each side by '2'. j = 5 Simplifying j = 5
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