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Simplifying (-53) + -2i = (-1i) + 20 -53 + -2i = (-1i) + 20 Reorder the terms: -53 + -2i = 20 + (-1i) Solving -53 + -2i = 20 + (-1i) Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '(i)' to each side of the equation. -53 + -2i + (i) = 20 + (-1i) + (i) -53 + -2i + i = 20 + (-1i) + (i) Combine like terms: -2i + i = -1i -53 + -1i = 20 + (-1i) + (i) -53 + -1i = 20 + (-1i) + i Combine like terms: (-1i) + i = 0 -53 + -1i = 20 + 0 -53 + -1i = 20 Add '53' to each side of the equation. -53 + 53 + -1i = 20 + 53 Combine like terms: -53 + 53 = 0 0 + -1i = 20 + 53 -1i = 20 + 53 Combine like terms: 20 + 53 = 73 -1i = 73 Divide each side by '-1'. i = -73 Simplifying i = -73
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