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Simplifying 3.8j + -13 = 1.4j + 5 Reorder the terms: -13 + 3.8j = 1.4j + 5 Reorder the terms: -13 + 3.8j = 5 + 1.4j Solving -13 + 3.8j = 5 + 1.4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1.4j' to each side of the equation. -13 + 3.8j + -1.4j = 5 + 1.4j + -1.4j Combine like terms: 3.8j + -1.4j = 2.4j -13 + 2.4j = 5 + 1.4j + -1.4j Combine like terms: 1.4j + -1.4j = 0.0 -13 + 2.4j = 5 + 0.0 -13 + 2.4j = 5 Add '13' to each side of the equation. -13 + 13 + 2.4j = 5 + 13 Combine like terms: -13 + 13 = 0 0 + 2.4j = 5 + 13 2.4j = 5 + 13 Combine like terms: 5 + 13 = 18 2.4j = 18 Divide each side by '2.4'. j = 7.5 Simplifying j = 7.5
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