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Simplifying 5 = -0.5(1.5j + 7) Reorder the terms: 5 = -0.5(7 + 1.5j) 5 = (7 * -0.5 + 1.5j * -0.5) 5 = (-3.5 + -0.75j) Solving 5 = -3.5 + -0.75j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '0.75j' to each side of the equation. 5 + 0.75j = -3.5 + -0.75j + 0.75j Combine like terms: -0.75j + 0.75j = 0.00 5 + 0.75j = -3.5 + 0.00 5 + 0.75j = -3.5 Add '-5' to each side of the equation. 5 + -5 + 0.75j = -3.5 + -5 Combine like terms: 5 + -5 = 0 0 + 0.75j = -3.5 + -5 0.75j = -3.5 + -5 Combine like terms: -3.5 + -5 = -8.5 0.75j = -8.5 Divide each side by '0.75'. j = -11.33333333 Simplifying j = -11.33333333
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