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Simplifying 17 = 2(3j + 1) + -1j Reorder the terms: 17 = 2(1 + 3j) + -1j 17 = (1 * 2 + 3j * 2) + -1j 17 = (2 + 6j) + -1j Combine like terms: 6j + -1j = 5j 17 = 2 + 5j Solving 17 = 2 + 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. 17 + -5j = 2 + 5j + -5j Combine like terms: 5j + -5j = 0 17 + -5j = 2 + 0 17 + -5j = 2 Add '-17' to each side of the equation. 17 + -17 + -5j = 2 + -17 Combine like terms: 17 + -17 = 0 0 + -5j = 2 + -17 -5j = 2 + -17 Combine like terms: 2 + -17 = -15 -5j = -15 Divide each side by '-5'. j = 3 Simplifying j = 3
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