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Simplifying i + 12 + -3 = 4i + -16 Reorder the terms: 12 + -3 + i = 4i + -16 Combine like terms: 12 + -3 = 9 9 + i = 4i + -16 Reorder the terms: 9 + i = -16 + 4i Solving 9 + i = -16 + 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. 9 + i + -4i = -16 + 4i + -4i Combine like terms: i + -4i = -3i 9 + -3i = -16 + 4i + -4i Combine like terms: 4i + -4i = 0 9 + -3i = -16 + 0 9 + -3i = -16 Add '-9' to each side of the equation. 9 + -9 + -3i = -16 + -9 Combine like terms: 9 + -9 = 0 0 + -3i = -16 + -9 -3i = -16 + -9 Combine like terms: -16 + -9 = -25 -3i = -25 Divide each side by '-3'. i = 8.333333333 Simplifying i = 8.333333333
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