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