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Simplifying 9 + -1(3z + -2) = 2 + -4z Reorder the terms: 9 + -1(-2 + 3z) = 2 + -4z 9 + (-2 * -1 + 3z * -1) = 2 + -4z 9 + (2 + -3z) = 2 + -4z Combine like terms: 9 + 2 = 11 11 + -3z = 2 + -4z Solving 11 + -3z = 2 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 11 + -3z + 4z = 2 + -4z + 4z Combine like terms: -3z + 4z = 1z 11 + 1z = 2 + -4z + 4z Combine like terms: -4z + 4z = 0 11 + 1z = 2 + 0 11 + 1z = 2 Add '-11' to each side of the equation. 11 + -11 + 1z = 2 + -11 Combine like terms: 11 + -11 = 0 0 + 1z = 2 + -11 1z = 2 + -11 Combine like terms: 2 + -11 = -9 1z = -9 Divide each side by '1'. z = -9 Simplifying z = -9
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