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Simplifying 5z + -1 = (2 + -1) * z + -2i Reorder the terms: -1 + 5z = (2 + -1) * z + -2i Combine like terms: 2 + -1 = 1 -1 + 5z = (1) * z + -2i Reorder the terms: -1 + 5z = -2i + 1z Solving -1 + 5z = -2i + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -1 + 5z + -1z = -2i + 1z + -1z Combine like terms: 5z + -1z = 4z -1 + 4z = -2i + 1z + -1z Combine like terms: 1z + -1z = 0 -1 + 4z = -2i + 0 -1 + 4z = -2i Add '1' to each side of the equation. -1 + 1 + 4z = 1 + -2i Combine like terms: -1 + 1 = 0 0 + 4z = 1 + -2i 4z = 1 + -2i Divide each side by '4'. z = 0.25 + -0.5i Simplifying z = 0.25 + -0.5i
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