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Simplifying 20j + -17 + 5j = 18 + 20j Reorder the terms: -17 + 20j + 5j = 18 + 20j Combine like terms: 20j + 5j = 25j -17 + 25j = 18 + 20j Solving -17 + 25j = 18 + 20j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-20j' to each side of the equation. -17 + 25j + -20j = 18 + 20j + -20j Combine like terms: 25j + -20j = 5j -17 + 5j = 18 + 20j + -20j Combine like terms: 20j + -20j = 0 -17 + 5j = 18 + 0 -17 + 5j = 18 Add '17' to each side of the equation. -17 + 17 + 5j = 18 + 17 Combine like terms: -17 + 17 = 0 0 + 5j = 18 + 17 5j = 18 + 17 Combine like terms: 18 + 17 = 35 5j = 35 Divide each side by '5'. j = 7 Simplifying j = 7
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