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Simplifying -10 + -1j = 10 + -4j + 10 Reorder the terms: -10 + -1j = 10 + 10 + -4j Combine like terms: 10 + 10 = 20 -10 + -1j = 20 + -4j Solving -10 + -1j = 20 + -4j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '4j' to each side of the equation. -10 + -1j + 4j = 20 + -4j + 4j Combine like terms: -1j + 4j = 3j -10 + 3j = 20 + -4j + 4j Combine like terms: -4j + 4j = 0 -10 + 3j = 20 + 0 -10 + 3j = 20 Add '10' to each side of the equation. -10 + 10 + 3j = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 3j = 20 + 10 3j = 20 + 10 Combine like terms: 20 + 10 = 30 3j = 30 Divide each side by '3'. j = 10 Simplifying j = 10
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