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Simplifying -9(z + -2) = 6 + -8z Reorder the terms: -9(-2 + z) = 6 + -8z (-2 * -9 + z * -9) = 6 + -8z (18 + -9z) = 6 + -8z Solving 18 + -9z = 6 + -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 = 6 + -8z + 8z Combine like terms: -9z + 8z = -1z 18 + -1z = 6 + -8z + 8z Combine like terms: -8z + 8z = 0 18 + -1z = 6 + 0 18 + -1z = 6 Add '-18' to each side of the equation. 18 + -18 + -1z = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -1z = 6 + -18 -1z = 6 + -18 Combine like terms: 6 + -18 = -12 -1z = -12 Divide each side by '-1'. z = 12 Simplifying z = 12
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