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Simplifying 9(3 + -1z) = -1z (3 * 9 + -1z * 9) = -1z (27 + -9z) = -1z Solving 27 + -9z = -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. 27 + -9z + z = -1z + z Combine like terms: -9z + z = -8z 27 + -8z = -1z + z Combine like terms: -1z + z = 0 27 + -8z = 0 Add '-27' to each side of the equation. 27 + -27 + -8z = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -8z = 0 + -27 -8z = 0 + -27 Combine like terms: 0 + -27 = -27 -8z = -27 Divide each side by '-8'. z = 3.375 Simplifying z = 3.375
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