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Simplifying 6 + 2j = 30 + -2j Solving 6 + 2j = 30 + -2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '2j' to each side of the equation. 6 + 2j + 2j = 30 + -2j + 2j Combine like terms: 2j + 2j = 4j 6 + 4j = 30 + -2j + 2j Combine like terms: -2j + 2j = 0 6 + 4j = 30 + 0 6 + 4j = 30 Add '-6' to each side of the equation. 6 + -6 + 4j = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 4j = 30 + -6 4j = 30 + -6 Combine like terms: 30 + -6 = 24 4j = 24 Divide each side by '4'. j = 6 Simplifying j = 6
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