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