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Simplifying 12 + 7j = 14.2 + 9j + 1.8 Reorder the terms: 12 + 7j = 14.2 + 1.8 + 9j Combine like terms: 14.2 + 1.8 = 16 12 + 7j = 16 + 9j Solving 12 + 7j = 16 + 9j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-9j' to each side of the equation. 12 + 7j + -9j = 16 + 9j + -9j Combine like terms: 7j + -9j = -2j 12 + -2j = 16 + 9j + -9j Combine like terms: 9j + -9j = 0 12 + -2j = 16 + 0 12 + -2j = 16 Add '-12' to each side of the equation. 12 + -12 + -2j = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -2j = 16 + -12 -2j = 16 + -12 Combine like terms: 16 + -12 = 4 -2j = 4 Divide each side by '-2'. j = -2 Simplifying j = -2
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