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Simplifying 6j + -5.2 = 4.2j + 2.6 Reorder the terms: -5.2 + 6j = 4.2j + 2.6 Reorder the terms: -5.2 + 6j = 2.6 + 4.2j Solving -5.2 + 6j = 2.6 + 4.2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4.2j' to each side of the equation. -5.2 + 6j + -4.2j = 2.6 + 4.2j + -4.2j Combine like terms: 6j + -4.2j = 1.8j -5.2 + 1.8j = 2.6 + 4.2j + -4.2j Combine like terms: 4.2j + -4.2j = 0.0 -5.2 + 1.8j = 2.6 + 0.0 -5.2 + 1.8j = 2.6 Add '5.2' to each side of the equation. -5.2 + 5.2 + 1.8j = 2.6 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 1.8j = 2.6 + 5.2 1.8j = 2.6 + 5.2 Combine like terms: 2.6 + 5.2 = 7.8 1.8j = 7.8 Divide each side by '1.8'. j = 4.333333333 Simplifying j = 4.333333333
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