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Simplifying 12.6j + 8 = 10.2j + 4.4 Reorder the terms: 8 + 12.6j = 10.2j + 4.4 Reorder the terms: 8 + 12.6j = 4.4 + 10.2j Solving 8 + 12.6j = 4.4 + 10.2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-10.2j' to each side of the equation. 8 + 12.6j + -10.2j = 4.4 + 10.2j + -10.2j Combine like terms: 12.6j + -10.2j = 2.4j 8 + 2.4j = 4.4 + 10.2j + -10.2j Combine like terms: 10.2j + -10.2j = 0.0 8 + 2.4j = 4.4 + 0.0 8 + 2.4j = 4.4 Add '-8' to each side of the equation. 8 + -8 + 2.4j = 4.4 + -8 Combine like terms: 8 + -8 = 0 0 + 2.4j = 4.4 + -8 2.4j = 4.4 + -8 Combine like terms: 4.4 + -8 = -3.6 2.4j = -3.6 Divide each side by '2.4'. j = -1.5 Simplifying j = -1.5
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