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Simplifying 10j + -20 = 20 + -1j + 15 Reorder the terms: -20 + 10j = 20 + -1j + 15 Reorder the terms: -20 + 10j = 20 + 15 + -1j Combine like terms: 20 + 15 = 35 -20 + 10j = 35 + -1j Solving -20 + 10j = 35 + -1j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add 'j' to each side of the equation. -20 + 10j + j = 35 + -1j + j Combine like terms: 10j + j = 11j -20 + 11j = 35 + -1j + j Combine like terms: -1j + j = 0 -20 + 11j = 35 + 0 -20 + 11j = 35 Add '20' to each side of the equation. -20 + 20 + 11j = 35 + 20 Combine like terms: -20 + 20 = 0 0 + 11j = 35 + 20 11j = 35 + 20 Combine like terms: 35 + 20 = 55 11j = 55 Divide each side by '11'. j = 5 Simplifying j = 5
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