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Simplifying 14 + -2j + -20 = 100 + 4j Reorder the terms: 14 + -20 + -2j = 100 + 4j Combine like terms: 14 + -20 = -6 -6 + -2j = 100 + 4j Solving -6 + -2j = 100 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. -6 + -2j + -4j = 100 + 4j + -4j Combine like terms: -2j + -4j = -6j -6 + -6j = 100 + 4j + -4j Combine like terms: 4j + -4j = 0 -6 + -6j = 100 + 0 -6 + -6j = 100 Add '6' to each side of the equation. -6 + 6 + -6j = 100 + 6 Combine like terms: -6 + 6 = 0 0 + -6j = 100 + 6 -6j = 100 + 6 Combine like terms: 100 + 6 = 106 -6j = 106 Divide each side by '-6'. j = -17.66666667 Simplifying j = -17.66666667
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