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Simplifying 6.66 + -5.07 + 10.7j = -6.45 + 4j Combine like terms: 6.66 + -5.07 = 1.59 1.59 + 10.7j = -6.45 + 4j Solving 1.59 + 10.7j = -6.45 + 4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-4j' to each side of the equation. 1.59 + 10.7j + -4j = -6.45 + 4j + -4j Combine like terms: 10.7j + -4j = 6.7j 1.59 + 6.7j = -6.45 + 4j + -4j Combine like terms: 4j + -4j = 0 1.59 + 6.7j = -6.45 + 0 1.59 + 6.7j = -6.45 Add '-1.59' to each side of the equation. 1.59 + -1.59 + 6.7j = -6.45 + -1.59 Combine like terms: 1.59 + -1.59 = 0.00 0.00 + 6.7j = -6.45 + -1.59 6.7j = -6.45 + -1.59 Combine like terms: -6.45 + -1.59 = -8.04 6.7j = -8.04 Divide each side by '6.7'. j = -1.2 Simplifying j = -1.2
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