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Simplifying 14.2j + -25.2 = 3.8j + 26.8 Reorder the terms: -25.2 + 14.2j = 3.8j + 26.8 Reorder the terms: -25.2 + 14.2j = 26.8 + 3.8j Solving -25.2 + 14.2j = 26.8 + 3.8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-3.8j' to each side of the equation. -25.2 + 14.2j + -3.8j = 26.8 + 3.8j + -3.8j Combine like terms: 14.2j + -3.8j = 10.4j -25.2 + 10.4j = 26.8 + 3.8j + -3.8j Combine like terms: 3.8j + -3.8j = 0.0 -25.2 + 10.4j = 26.8 + 0.0 -25.2 + 10.4j = 26.8 Add '25.2' to each side of the equation. -25.2 + 25.2 + 10.4j = 26.8 + 25.2 Combine like terms: -25.2 + 25.2 = 0.0 0.0 + 10.4j = 26.8 + 25.2 10.4j = 26.8 + 25.2 Combine like terms: 26.8 + 25.2 = 52 10.4j = 52 Divide each side by '10.4'. j = 5 Simplifying j = 5
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