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Simplifying 7i + -4 + 6i = 11 + 4i + -2 Reorder the terms: -4 + 7i + 6i = 11 + 4i + -2 Combine like terms: 7i + 6i = 13i -4 + 13i = 11 + 4i + -2 Reorder the terms: -4 + 13i = 11 + -2 + 4i Combine like terms: 11 + -2 = 9 -4 + 13i = 9 + 4i Solving -4 + 13i = 9 + 4i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4i' to each side of the equation. -4 + 13i + -4i = 9 + 4i + -4i Combine like terms: 13i + -4i = 9i -4 + 9i = 9 + 4i + -4i Combine like terms: 4i + -4i = 0 -4 + 9i = 9 + 0 -4 + 9i = 9 Add '4' to each side of the equation. -4 + 4 + 9i = 9 + 4 Combine like terms: -4 + 4 = 0 0 + 9i = 9 + 4 9i = 9 + 4 Combine like terms: 9 + 4 = 13 9i = 13 Divide each side by '9'. i = 1.444444444 Simplifying i = 1.444444444
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