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Simplifying -10 + 5j + -17 = 10j + 13 Reorder the terms: -10 + -17 + 5j = 10j + 13 Combine like terms: -10 + -17 = -27 -27 + 5j = 10j + 13 Reorder the terms: -27 + 5j = 13 + 10j Solving -27 + 5j = 13 + 10j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-10j' to each side of the equation. -27 + 5j + -10j = 13 + 10j + -10j Combine like terms: 5j + -10j = -5j -27 + -5j = 13 + 10j + -10j Combine like terms: 10j + -10j = 0 -27 + -5j = 13 + 0 -27 + -5j = 13 Add '27' to each side of the equation. -27 + 27 + -5j = 13 + 27 Combine like terms: -27 + 27 = 0 0 + -5j = 13 + 27 -5j = 13 + 27 Combine like terms: 13 + 27 = 40 -5j = 40 Divide each side by '-5'. j = -8 Simplifying j = -8
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