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Simplifying 5 + -2j = 3j + -7j + 21 Reorder the terms: 5 + -2j = 21 + 3j + -7j Combine like terms: 3j + -7j = -4j 5 + -2j = 21 + -4j Solving 5 + -2j = 21 + -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. 5 + -2j + 4j = 21 + -4j + 4j Combine like terms: -2j + 4j = 2j 5 + 2j = 21 + -4j + 4j Combine like terms: -4j + 4j = 0 5 + 2j = 21 + 0 5 + 2j = 21 Add '-5' to each side of the equation. 5 + -5 + 2j = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 2j = 21 + -5 2j = 21 + -5 Combine like terms: 21 + -5 = 16 2j = 16 Divide each side by '2'. j = 8 Simplifying j = 8
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