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Simplifying 10 + -4j = -9 + -1j + -8 Reorder the terms: 10 + -4j = -9 + -8 + -1j Combine like terms: -9 + -8 = -17 10 + -4j = -17 + -1j Solving 10 + -4j = -17 + -1j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add 'j' to each side of the equation. 10 + -4j + j = -17 + -1j + j Combine like terms: -4j + j = -3j 10 + -3j = -17 + -1j + j Combine like terms: -1j + j = 0 10 + -3j = -17 + 0 10 + -3j = -17 Add '-10' to each side of the equation. 10 + -10 + -3j = -17 + -10 Combine like terms: 10 + -10 = 0 0 + -3j = -17 + -10 -3j = -17 + -10 Combine like terms: -17 + -10 = -27 -3j = -27 Divide each side by '-3'. j = 9 Simplifying j = 9
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