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Simplifying 12 + -6j + 16 = 8 + -5j Reorder the terms: 12 + 16 + -6j = 8 + -5j Combine like terms: 12 + 16 = 28 28 + -6j = 8 + -5j Solving 28 + -6j = 8 + -5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '5j' to each side of the equation. 28 + -6j + 5j = 8 + -5j + 5j Combine like terms: -6j + 5j = -1j 28 + -1j = 8 + -5j + 5j Combine like terms: -5j + 5j = 0 28 + -1j = 8 + 0 28 + -1j = 8 Add '-28' to each side of the equation. 28 + -28 + -1j = 8 + -28 Combine like terms: 28 + -28 = 0 0 + -1j = 8 + -28 -1j = 8 + -28 Combine like terms: 8 + -28 = -20 -1j = -20 Divide each side by '-1'. j = 20 Simplifying j = 20
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