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Simplifying -8 + -1j = 3j + 6 + 10 Reorder the terms: -8 + -1j = 6 + 10 + 3j Combine like terms: 6 + 10 = 16 -8 + -1j = 16 + 3j Solving -8 + -1j = 16 + 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. -8 + -1j + -3j = 16 + 3j + -3j Combine like terms: -1j + -3j = -4j -8 + -4j = 16 + 3j + -3j Combine like terms: 3j + -3j = 0 -8 + -4j = 16 + 0 -8 + -4j = 16 Add '8' to each side of the equation. -8 + 8 + -4j = 16 + 8 Combine like terms: -8 + 8 = 0 0 + -4j = 16 + 8 -4j = 16 + 8 Combine like terms: 16 + 8 = 24 -4j = 24 Divide each side by '-4'. j = -6 Simplifying j = -6
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