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Simplifying 4.5 + -1.5(6j + 2) = 6 Reorder the terms: 4.5 + -1.5(2 + 6j) = 6 4.5 + (2 * -1.5 + 6j * -1.5) = 6 4.5 + (-3 + -9j) = 6 Combine like terms: 4.5 + -3 = 1.5 1.5 + -9j = 6 Solving 1.5 + -9j = 6 Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1.5' to each side of the equation. 1.5 + -1.5 + -9j = 6 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -9j = 6 + -1.5 -9j = 6 + -1.5 Combine like terms: 6 + -1.5 = 4.5 -9j = 4.5 Divide each side by '-9'. j = -0.5 Simplifying j = -0.5
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