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Simplifying 2z + -1(1 + -1z) = 11 + -1z 2z + (1 * -1 + -1z * -1) = 11 + -1z 2z + (-1 + 1z) = 11 + -1z Reorder the terms: -1 + 2z + 1z = 11 + -1z Combine like terms: 2z + 1z = 3z -1 + 3z = 11 + -1z Solving -1 + 3z = 11 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. -1 + 3z + z = 11 + -1z + z Combine like terms: 3z + z = 4z -1 + 4z = 11 + -1z + z Combine like terms: -1z + z = 0 -1 + 4z = 11 + 0 -1 + 4z = 11 Add '1' to each side of the equation. -1 + 1 + 4z = 11 + 1 Combine like terms: -1 + 1 = 0 0 + 4z = 11 + 1 4z = 11 + 1 Combine like terms: 11 + 1 = 12 4z = 12 Divide each side by '4'. z = 3 Simplifying z = 3
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