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Simplifying 5i + 7j + -3i = 0 Reorder the terms: 5i + -3i + 7j = 0 Combine like terms: 5i + -3i = 2i 2i + 7j = 0 Solving 2i + 7j = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7j' to each side of the equation. 2i + 7j + -7j = 0 + -7j Combine like terms: 7j + -7j = 0 2i + 0 = 0 + -7j 2i = 0 + -7j Remove the zero: 2i = -7j Divide each side by '2'. i = -3.5j Simplifying i = -3.5j
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