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Simplifying -78 = 3j + 7 + -8j Reorder the terms: -78 = 7 + 3j + -8j Combine like terms: 3j + -8j = -5j -78 = 7 + -5j Solving -78 = 7 + -5j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '5j' to each side of the equation. -78 + 5j = 7 + -5j + 5j Combine like terms: -5j + 5j = 0 -78 + 5j = 7 + 0 -78 + 5j = 7 Add '78' to each side of the equation. -78 + 78 + 5j = 7 + 78 Combine like terms: -78 + 78 = 0 0 + 5j = 7 + 78 5j = 7 + 78 Combine like terms: 7 + 78 = 85 5j = 85 Divide each side by '5'. j = 17 Simplifying j = 17
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