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Simplifying 0.5(5 + -7j) = (4j + 6) (5 * 0.5 + -7j * 0.5) = (4j + 6) (2.5 + -3.5j) = (4j + 6) Reorder the terms: 2.5 + -3.5j = (6 + 4j) Remove parenthesis around (6 + 4j) 2.5 + -3.5j = 6 + 4j Solving 2.5 + -3.5j = 6 + 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. 2.5 + -3.5j + -4j = 6 + 4j + -4j Combine like terms: -3.5j + -4j = -7.5j 2.5 + -7.5j = 6 + 4j + -4j Combine like terms: 4j + -4j = 0 2.5 + -7.5j = 6 + 0 2.5 + -7.5j = 6 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -7.5j = 6 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -7.5j = 6 + -2.5 -7.5j = 6 + -2.5 Combine like terms: 6 + -2.5 = 3.5 -7.5j = 3.5 Divide each side by '-7.5'. j = -0.4666666667 Simplifying j = -0.4666666667
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