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Simplifying -53 + -2i = i + 20 Reorder the terms: -53 + -2i = 20 + i Solving -53 + -2i = 20 + 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. -53 + -2i + -1i = 20 + i + -1i Combine like terms: -2i + -1i = -3i -53 + -3i = 20 + i + -1i Combine like terms: i + -1i = 0 -53 + -3i = 20 + 0 -53 + -3i = 20 Add '53' to each side of the equation. -53 + 53 + -3i = 20 + 53 Combine like terms: -53 + 53 = 0 0 + -3i = 20 + 53 -3i = 20 + 53 Combine like terms: 20 + 53 = 73 -3i = 73 Divide each side by '-3'. i = -24.33333333 Simplifying i = -24.33333333
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