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Simplifying 100 + -1j + 1x + -2j = 0 Reorder the terms: 100 + -1j + -2j + 1x = 0 Combine like terms: -1j + -2j = -3j 100 + -3j + 1x = 0 Solving 100 + -3j + 1x = 0 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -3j + -100 + 1x = 0 + -100 Reorder the terms: 100 + -100 + -3j + 1x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -3j + 1x = 0 + -100 -3j + 1x = 0 + -100 Combine like terms: 0 + -100 = -100 -3j + 1x = -100 Add '-1x' to each side of the equation. -3j + 1x + -1x = -100 + -1x Combine like terms: 1x + -1x = 0 -3j + 0 = -100 + -1x -3j = -100 + -1x Divide each side by '-3'. j = 33.33333333 + 0.3333333333x Simplifying j = 33.33333333 + 0.3333333333x
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