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Simplifying (z + -1)(-3) = 1 Reorder the terms: (-1 + z)(-3) = 1 Reorder the terms for easier multiplication: -3(-1 + z) = 1 (-1 * -3 + z * -3) = 1 (3 + -3z) = 1 Solving 3 + -3z = 1 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -3z = 1 + -3 Combine like terms: 3 + -3 = 0 0 + -3z = 1 + -3 -3z = 1 + -3 Combine like terms: 1 + -3 = -2 -3z = -2 Divide each side by '-3'. z = 0.6666666667 Simplifying z = 0.6666666667
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