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Simplifying 100 + -1j = j + -40 Reorder the terms: 100 + -1j = -40 + j Solving 100 + -1j = -40 + 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. 100 + -1j + -1j = -40 + j + -1j Combine like terms: -1j + -1j = -2j 100 + -2j = -40 + j + -1j Combine like terms: j + -1j = 0 100 + -2j = -40 + 0 100 + -2j = -40 Add '-100' to each side of the equation. 100 + -100 + -2j = -40 + -100 Combine like terms: 100 + -100 = 0 0 + -2j = -40 + -100 -2j = -40 + -100 Combine like terms: -40 + -100 = -140 -2j = -140 Divide each side by '-2'. j = 70 Simplifying j = 70
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