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Simplifying 9 = 0.25(6j + -18) Reorder the terms: 9 = 0.25(-18 + 6j) 9 = (-18 * 0.25 + 6j * 0.25) 9 = (-4.5 + 1.5j) Solving 9 = -4.5 + 1.5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1.5j' to each side of the equation. 9 + -1.5j = -4.5 + 1.5j + -1.5j Combine like terms: 1.5j + -1.5j = 0.0 9 + -1.5j = -4.5 + 0.0 9 + -1.5j = -4.5 Add '-9' to each side of the equation. 9 + -9 + -1.5j = -4.5 + -9 Combine like terms: 9 + -9 = 0 0 + -1.5j = -4.5 + -9 -1.5j = -4.5 + -9 Combine like terms: -4.5 + -9 = -13.5 -1.5j = -13.5 Divide each side by '-1.5'. j = 9 Simplifying j = 9
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