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Simplifying 9 + -4j = 2j + -21 Reorder the terms: 9 + -4j = -21 + 2j Solving 9 + -4j = -21 + 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. 9 + -4j + -2j = -21 + 2j + -2j Combine like terms: -4j + -2j = -6j 9 + -6j = -21 + 2j + -2j Combine like terms: 2j + -2j = 0 9 + -6j = -21 + 0 9 + -6j = -21 Add '-9' to each side of the equation. 9 + -9 + -6j = -21 + -9 Combine like terms: 9 + -9 = 0 0 + -6j = -21 + -9 -6j = -21 + -9 Combine like terms: -21 + -9 = -30 -6j = -30 Divide each side by '-6'. j = 5 Simplifying j = 5
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