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Simplifying 4i + 6 = i + -4 Reorder the terms: 6 + 4i = i + -4 Reorder the terms: 6 + 4i = -4 + i Solving 6 + 4i = -4 + i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1i' to each side of the equation. 6 + 4i + -1i = -4 + i + -1i Combine like terms: 4i + -1i = 3i 6 + 3i = -4 + i + -1i Combine like terms: i + -1i = 0 6 + 3i = -4 + 0 6 + 3i = -4 Add '-6' to each side of the equation. 6 + -6 + 3i = -4 + -6 Combine like terms: 6 + -6 = 0 0 + 3i = -4 + -6 3i = -4 + -6 Combine like terms: -4 + -6 = -10 3i = -10 Divide each side by '3'. i = -3.333333333 Simplifying i = -3.333333333
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