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Simplifying 10 + -2j = 5 + -3j Solving 10 + -2j = 5 + -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. 10 + -2j + 3j = 5 + -3j + 3j Combine like terms: -2j + 3j = 1j 10 + 1j = 5 + -3j + 3j Combine like terms: -3j + 3j = 0 10 + 1j = 5 + 0 10 + 1j = 5 Add '-10' to each side of the equation. 10 + -10 + 1j = 5 + -10 Combine like terms: 10 + -10 = 0 0 + 1j = 5 + -10 1j = 5 + -10 Combine like terms: 5 + -10 = -5 1j = -5 Divide each side by '1'. j = -5 Simplifying j = -5
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