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Simplifying -10j + 5j + -7 = 3 + -10j Reorder the terms: -7 + -10j + 5j = 3 + -10j Combine like terms: -10j + 5j = -5j -7 + -5j = 3 + -10j Solving -7 + -5j = 3 + -10j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '10j' to each side of the equation. -7 + -5j + 10j = 3 + -10j + 10j Combine like terms: -5j + 10j = 5j -7 + 5j = 3 + -10j + 10j Combine like terms: -10j + 10j = 0 -7 + 5j = 3 + 0 -7 + 5j = 3 Add '7' to each side of the equation. -7 + 7 + 5j = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 5j = 3 + 7 5j = 3 + 7 Combine like terms: 3 + 7 = 10 5j = 10 Divide each side by '5'. j = 2 Simplifying j = 2
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