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Simplifying 2z + -1(1 + -2) = 11 + -1z Combine like terms: 1 + -2 = -1 2z + -1(-1) = 11 + -1z Multiply -1 * -1 2z + 1 = 11 + -1z Reorder the terms: 1 + 2z = 11 + -1z Solving 1 + 2z = 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 + 2z + z = 11 + -1z + z Combine like terms: 2z + z = 3z 1 + 3z = 11 + -1z + z Combine like terms: -1z + z = 0 1 + 3z = 11 + 0 1 + 3z = 11 Add '-1' to each side of the equation. 1 + -1 + 3z = 11 + -1 Combine like terms: 1 + -1 = 0 0 + 3z = 11 + -1 3z = 11 + -1 Combine like terms: 11 + -1 = 10 3z = 10 Divide each side by '3'. z = 3.333333333 Simplifying z = 3.333333333
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