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Simplifying 9(2 + -1z) = -8z (2 * 9 + -1z * 9) = -8z (18 + -9z) = -8z Solving 18 + -9z = -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. 18 + -9z + 8z = -8z + 8z Combine like terms: -9z + 8z = -1z 18 + -1z = -8z + 8z Combine like terms: -8z + 8z = 0 18 + -1z = 0 Add '-18' to each side of the equation. 18 + -18 + -1z = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1z = 0 + -18 -1z = 0 + -18 Combine like terms: 0 + -18 = -18 -1z = -18 Divide each side by '-1'. z = 18 Simplifying z = 18
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