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Simplifying -17.71 + 10j = 19.66 + 14.6j + 8.17 Reorder the terms: -17.71 + 10j = 19.66 + 8.17 + 14.6j Combine like terms: 19.66 + 8.17 = 27.83 -17.71 + 10j = 27.83 + 14.6j Solving -17.71 + 10j = 27.83 + 14.6j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-14.6j' to each side of the equation. -17.71 + 10j + -14.6j = 27.83 + 14.6j + -14.6j Combine like terms: 10j + -14.6j = -4.6j -17.71 + -4.6j = 27.83 + 14.6j + -14.6j Combine like terms: 14.6j + -14.6j = 0.0 -17.71 + -4.6j = 27.83 + 0.0 -17.71 + -4.6j = 27.83 Add '17.71' to each side of the equation. -17.71 + 17.71 + -4.6j = 27.83 + 17.71 Combine like terms: -17.71 + 17.71 = 0.00 0.00 + -4.6j = 27.83 + 17.71 -4.6j = 27.83 + 17.71 Combine like terms: 27.83 + 17.71 = 45.54 -4.6j = 45.54 Divide each side by '-4.6'. j = -9.9 Simplifying j = -9.9
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