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Simplifying 4j + -8 = 10 + -9j + 10j Reorder the terms: -8 + 4j = 10 + -9j + 10j Combine like terms: -9j + 10j = 1j -8 + 4j = 10 + 1j Solving -8 + 4j = 10 + 1j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-1j' to each side of the equation. -8 + 4j + -1j = 10 + 1j + -1j Combine like terms: 4j + -1j = 3j -8 + 3j = 10 + 1j + -1j Combine like terms: 1j + -1j = 0 -8 + 3j = 10 + 0 -8 + 3j = 10 Add '8' to each side of the equation. -8 + 8 + 3j = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 3j = 10 + 8 3j = 10 + 8 Combine like terms: 10 + 8 = 18 3j = 18 Divide each side by '3'. j = 6 Simplifying j = 6
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