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Simplifying -1j + 3 + 2j + -1j + -1 + -2 = 13 + 27 + -2j Reorder the terms: 3 + -1 + -2 + -1j + 2j + -1j = 13 + 27 + -2j Combine like terms: 3 + -1 = 2 2 + -2 + -1j + 2j + -1j = 13 + 27 + -2j Combine like terms: 2 + -2 = 0 0 + -1j + 2j + -1j = 13 + 27 + -2j -1j + 2j + -1j = 13 + 27 + -2j Combine like terms: -1j + 2j = 1j 1j + -1j = 13 + 27 + -2j Combine like terms: 1j + -1j = 0 0 = 13 + 27 + -2j Combine like terms: 13 + 27 = 40 0 = 40 + -2j Solving 0 = 40 + -2j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '2j' to each side of the equation. 0 + 2j = 40 + -2j + 2j Remove the zero: 2j = 40 + -2j + 2j Combine like terms: -2j + 2j = 0 2j = 40 + 0 2j = 40 Divide each side by '2'. j = 20 Simplifying j = 20
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