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Simplifying 19 + -4 + -10j = -8j + -17 Combine like terms: 19 + -4 = 15 15 + -10j = -8j + -17 Reorder the terms: 15 + -10j = -17 + -8j Solving 15 + -10j = -17 + -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. 15 + -10j + 8j = -17 + -8j + 8j Combine like terms: -10j + 8j = -2j 15 + -2j = -17 + -8j + 8j Combine like terms: -8j + 8j = 0 15 + -2j = -17 + 0 15 + -2j = -17 Add '-15' to each side of the equation. 15 + -15 + -2j = -17 + -15 Combine like terms: 15 + -15 = 0 0 + -2j = -17 + -15 -2j = -17 + -15 Combine like terms: -17 + -15 = -32 -2j = -32 Divide each side by '-2'. j = 16 Simplifying j = 16
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