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Simplifying z + -5 = z + -4i Reorder the terms: -5 + z = z + -4i Reorder the terms: -5 + z = -4i + z Add '-1z' to each side of the equation. -5 + z + -1z = -4i + z + -1z Combine like terms: z + -1z = 0 -5 + 0 = -4i + z + -1z -5 = -4i + z + -1z Combine like terms: z + -1z = 0 -5 = -4i + 0 -5 = -4i Solving -5 = -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. -5 + 4i = -4i + 4i Combine like terms: -4i + 4i = 0 -5 + 4i = 0 Add '5' to each side of the equation. -5 + 5 + 4i = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4i = 0 + 5 4i = 0 + 5 Combine like terms: 0 + 5 = 5 4i = 5 Divide each side by '4'. i = 1.25 Simplifying i = 1.25
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