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Simplifying -50 = 3j + -3 + -11j Reorder the terms: -50 = -3 + 3j + -11j Combine like terms: 3j + -11j = -8j -50 = -3 + -8j Solving -50 = -3 + -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. -50 + 8j = -3 + -8j + 8j Combine like terms: -8j + 8j = 0 -50 + 8j = -3 + 0 -50 + 8j = -3 Add '50' to each side of the equation. -50 + 50 + 8j = -3 + 50 Combine like terms: -50 + 50 = 0 0 + 8j = -3 + 50 8j = -3 + 50 Combine like terms: -3 + 50 = 47 8j = 47 Divide each side by '8'. j = 5.875 Simplifying j = 5.875
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