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Simplifying 4 + -9j = j + 5 Reorder the terms: 4 + -9j = 5 + j Solving 4 + -9j = 5 + j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. 4 + -9j + -1j = 5 + j + -1j Combine like terms: -9j + -1j = -10j 4 + -10j = 5 + j + -1j Combine like terms: j + -1j = 0 4 + -10j = 5 + 0 4 + -10j = 5 Add '-4' to each side of the equation. 4 + -4 + -10j = 5 + -4 Combine like terms: 4 + -4 = 0 0 + -10j = 5 + -4 -10j = 5 + -4 Combine like terms: 5 + -4 = 1 -10j = 1 Divide each side by '-10'. j = -0.1 Simplifying j = -0.1
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