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Simplifying 7j + 12 = -20 + 16j + -7j Reorder the terms: 12 + 7j = -20 + 16j + -7j Combine like terms: 16j + -7j = 9j 12 + 7j = -20 + 9j Solving 12 + 7j = -20 + 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 = -20 + 9j + -9j Combine like terms: 7j + -9j = -2j 12 + -2j = -20 + 9j + -9j Combine like terms: 9j + -9j = 0 12 + -2j = -20 + 0 12 + -2j = -20 Add '-12' to each side of the equation. 12 + -12 + -2j = -20 + -12 Combine like terms: 12 + -12 = 0 0 + -2j = -20 + -12 -2j = -20 + -12 Combine like terms: -20 + -12 = -32 -2j = -32 Divide each side by '-2'. j = 16 Simplifying j = 16
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