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Simplifying 7 = -3(i + 2) Reorder the terms: 7 = -3(2 + i) 7 = (2 * -3 + i * -3) 7 = (-6 + -3i) Solving 7 = -6 + -3i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '3i' to each side of the equation. 7 + 3i = -6 + -3i + 3i Combine like terms: -3i + 3i = 0 7 + 3i = -6 + 0 7 + 3i = -6 Add '-7' to each side of the equation. 7 + -7 + 3i = -6 + -7 Combine like terms: 7 + -7 = 0 0 + 3i = -6 + -7 3i = -6 + -7 Combine like terms: -6 + -7 = -13 3i = -13 Divide each side by '3'. i = -4.333333333 Simplifying i = -4.333333333
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