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Simplifying -10 + 4 + -5j = -7j + 10 Combine like terms: -10 + 4 = -6 -6 + -5j = -7j + 10 Reorder the terms: -6 + -5j = 10 + -7j Solving -6 + -5j = 10 + -7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '7j' to each side of the equation. -6 + -5j + 7j = 10 + -7j + 7j Combine like terms: -5j + 7j = 2j -6 + 2j = 10 + -7j + 7j Combine like terms: -7j + 7j = 0 -6 + 2j = 10 + 0 -6 + 2j = 10 Add '6' to each side of the equation. -6 + 6 + 2j = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 2j = 10 + 6 2j = 10 + 6 Combine like terms: 10 + 6 = 16 2j = 16 Divide each side by '2'. j = 8 Simplifying j = 8
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