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Simplifying 4 + 13j = -6 + 8j Solving 4 + 13j = -6 + 8j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-8j' to each side of the equation. 4 + 13j + -8j = -6 + 8j + -8j Combine like terms: 13j + -8j = 5j 4 + 5j = -6 + 8j + -8j Combine like terms: 8j + -8j = 0 4 + 5j = -6 + 0 4 + 5j = -6 Add '-4' to each side of the equation. 4 + -4 + 5j = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 5j = -6 + -4 5j = -6 + -4 Combine like terms: -6 + -4 = -10 5j = -10 Divide each side by '5'. j = -2 Simplifying j = -2
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