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