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Simplifying 2i + 7j + -5j + -2j + 4i + -5j = 0 Reorder the terms: 2i + 4i + 7j + -5j + -2j + -5j = 0 Combine like terms: 2i + 4i = 6i 6i + 7j + -5j + -2j + -5j = 0 Combine like terms: 7j + -5j = 2j 6i + 2j + -2j + -5j = 0 Combine like terms: 2j + -2j = 0 6i + 0 + -5j = 0 6i + -5j = 0 Solving 6i + -5j = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '5j' to each side of the equation. 6i + -5j + 5j = 0 + 5j Combine like terms: -5j + 5j = 0 6i + 0 = 0 + 5j 6i = 0 + 5j Remove the zero: 6i = 5j Divide each side by '6'. i = 0.8333333333j Simplifying i = 0.8333333333j
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