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Simplifying -5j + -1 = 1 + 11j + -15j Reorder the terms: -1 + -5j = 1 + 11j + -15j Combine like terms: 11j + -15j = -4j -1 + -5j = 1 + -4j Solving -1 + -5j = 1 + -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. -1 + -5j + 4j = 1 + -4j + 4j Combine like terms: -5j + 4j = -1j -1 + -1j = 1 + -4j + 4j Combine like terms: -4j + 4j = 0 -1 + -1j = 1 + 0 -1 + -1j = 1 Add '1' to each side of the equation. -1 + 1 + -1j = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -1j = 1 + 1 -1j = 1 + 1 Combine like terms: 1 + 1 = 2 -1j = 2 Divide each side by '-1'. j = -2 Simplifying j = -2
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