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Simplifying 7j + -15 = 1 + 5j Reorder the terms: -15 + 7j = 1 + 5j Solving -15 + 7j = 1 + 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. -15 + 7j + -5j = 1 + 5j + -5j Combine like terms: 7j + -5j = 2j -15 + 2j = 1 + 5j + -5j Combine like terms: 5j + -5j = 0 -15 + 2j = 1 + 0 -15 + 2j = 1 Add '15' to each side of the equation. -15 + 15 + 2j = 1 + 15 Combine like terms: -15 + 15 = 0 0 + 2j = 1 + 15 2j = 1 + 15 Combine like terms: 1 + 15 = 16 2j = 16 Divide each side by '2'. j = 8 Simplifying j = 8
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