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Simplifying 21 + j = 9 + -3j Solving 21 + j = 9 + -3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '3j' to each side of the equation. 21 + j + 3j = 9 + -3j + 3j Combine like terms: j + 3j = 4j 21 + 4j = 9 + -3j + 3j Combine like terms: -3j + 3j = 0 21 + 4j = 9 + 0 21 + 4j = 9 Add '-21' to each side of the equation. 21 + -21 + 4j = 9 + -21 Combine like terms: 21 + -21 = 0 0 + 4j = 9 + -21 4j = 9 + -21 Combine like terms: 9 + -21 = -12 4j = -12 Divide each side by '4'. j = -3 Simplifying j = -3
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