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Simplifying 10 + -4j + -7 = -9 + -7j Reorder the terms: 10 + -7 + -4j = -9 + -7j Combine like terms: 10 + -7 = 3 3 + -4j = -9 + -7j Solving 3 + -4j = -9 + -7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '7j' to each side of the equation. 3 + -4j + 7j = -9 + -7j + 7j Combine like terms: -4j + 7j = 3j 3 + 3j = -9 + -7j + 7j Combine like terms: -7j + 7j = 0 3 + 3j = -9 + 0 3 + 3j = -9 Add '-3' to each side of the equation. 3 + -3 + 3j = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 3j = -9 + -3 3j = -9 + -3 Combine like terms: -9 + -3 = -12 3j = -12 Divide each side by '3'. j = -4 Simplifying j = -4
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