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Simplifying 7j + 32 = 12 + -1j Reorder the terms: 32 + 7j = 12 + -1j Solving 32 + 7j = 12 + -1j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add 'j' to each side of the equation. 32 + 7j + j = 12 + -1j + j Combine like terms: 7j + j = 8j 32 + 8j = 12 + -1j + j Combine like terms: -1j + j = 0 32 + 8j = 12 + 0 32 + 8j = 12 Add '-32' to each side of the equation. 32 + -32 + 8j = 12 + -32 Combine like terms: 32 + -32 = 0 0 + 8j = 12 + -32 8j = 12 + -32 Combine like terms: 12 + -32 = -20 8j = -20 Divide each side by '8'. j = -2.5 Simplifying j = -2.5
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