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Simplifying 38.6 = j + -28.8 Reorder the terms: 38.6 = -28.8 + j Solving 38.6 = -28.8 + j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. 38.6 + -1j = -28.8 + j + -1j Combine like terms: j + -1j = 0 38.6 + -1j = -28.8 + 0 38.6 + -1j = -28.8 Add '-38.6' to each side of the equation. 38.6 + -38.6 + -1j = -28.8 + -38.6 Combine like terms: 38.6 + -38.6 = 0.0 0.0 + -1j = -28.8 + -38.6 -1j = -28.8 + -38.6 Combine like terms: -28.8 + -38.6 = -67.4 -1j = -67.4 Divide each side by '-1'. j = 67.4 Simplifying j = 67.4
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