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Simplifying -8j + -19 = 14 + 17 + -13j Reorder the terms: -19 + -8j = 14 + 17 + -13j Combine like terms: 14 + 17 = 31 -19 + -8j = 31 + -13j Solving -19 + -8j = 31 + -13j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '13j' to each side of the equation. -19 + -8j + 13j = 31 + -13j + 13j Combine like terms: -8j + 13j = 5j -19 + 5j = 31 + -13j + 13j Combine like terms: -13j + 13j = 0 -19 + 5j = 31 + 0 -19 + 5j = 31 Add '19' to each side of the equation. -19 + 19 + 5j = 31 + 19 Combine like terms: -19 + 19 = 0 0 + 5j = 31 + 19 5j = 31 + 19 Combine like terms: 31 + 19 = 50 5j = 50 Divide each side by '5'. j = 10 Simplifying j = 10
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