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Simplifying 9 + -1(2z + -2) = 8 + -3z Reorder the terms: 9 + -1(-2 + 2z) = 8 + -3z 9 + (-2 * -1 + 2z * -1) = 8 + -3z 9 + (2 + -2z) = 8 + -3z Combine like terms: 9 + 2 = 11 11 + -2z = 8 + -3z Solving 11 + -2z = 8 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 11 + -2z + 3z = 8 + -3z + 3z Combine like terms: -2z + 3z = 1z 11 + 1z = 8 + -3z + 3z Combine like terms: -3z + 3z = 0 11 + 1z = 8 + 0 11 + 1z = 8 Add '-11' to each side of the equation. 11 + -11 + 1z = 8 + -11 Combine like terms: 11 + -11 = 0 0 + 1z = 8 + -11 1z = 8 + -11 Combine like terms: 8 + -11 = -3 1z = -3 Divide each side by '1'. z = -3 Simplifying z = -3
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