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Simplifying 7 + -1j = 3(5 + -1j) 7 + -1j = (5 * 3 + -1j * 3) 7 + -1j = (15 + -3j) Solving 7 + -1j = 15 + -3j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '3j' to each side of the equation. 7 + -1j + 3j = 15 + -3j + 3j Combine like terms: -1j + 3j = 2j 7 + 2j = 15 + -3j + 3j Combine like terms: -3j + 3j = 0 7 + 2j = 15 + 0 7 + 2j = 15 Add '-7' to each side of the equation. 7 + -7 + 2j = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 2j = 15 + -7 2j = 15 + -7 Combine like terms: 15 + -7 = 8 2j = 8 Divide each side by '2'. j = 4 Simplifying j = 4
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