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Simplifying j + -17.79 = 2.9j + 13.56 Reorder the terms: -17.79 + j = 2.9j + 13.56 Reorder the terms: -17.79 + j = 13.56 + 2.9j Solving -17.79 + j = 13.56 + 2.9j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-2.9j' to each side of the equation. -17.79 + j + -2.9j = 13.56 + 2.9j + -2.9j Combine like terms: j + -2.9j = -1.9j -17.79 + -1.9j = 13.56 + 2.9j + -2.9j Combine like terms: 2.9j + -2.9j = 0.0 -17.79 + -1.9j = 13.56 + 0.0 -17.79 + -1.9j = 13.56 Add '17.79' to each side of the equation. -17.79 + 17.79 + -1.9j = 13.56 + 17.79 Combine like terms: -17.79 + 17.79 = 0.00 0.00 + -1.9j = 13.56 + 17.79 -1.9j = 13.56 + 17.79 Combine like terms: 13.56 + 17.79 = 31.35 -1.9j = 31.35 Divide each side by '-1.9'. j = -16.5 Simplifying j = -16.5
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