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Simplifying 14 + -0.2j + -2 = 10 + 0.4j Reorder the terms: 14 + -2 + -0.2j = 10 + 0.4j Combine like terms: 14 + -2 = 12 12 + -0.2j = 10 + 0.4j Solving 12 + -0.2j = 10 + 0.4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-0.4j' to each side of the equation. 12 + -0.2j + -0.4j = 10 + 0.4j + -0.4j Combine like terms: -0.2j + -0.4j = -0.6j 12 + -0.6j = 10 + 0.4j + -0.4j Combine like terms: 0.4j + -0.4j = 0.0 12 + -0.6j = 10 + 0.0 12 + -0.6j = 10 Add '-12' to each side of the equation. 12 + -12 + -0.6j = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -0.6j = 10 + -12 -0.6j = 10 + -12 Combine like terms: 10 + -12 = -2 -0.6j = -2 Divide each side by '-0.6'. j = 3.333333333 Simplifying j = 3.333333333
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