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Simplifying -9(z + -1) = 5 + -8z Reorder the terms: -9(-1 + z) = 5 + -8z (-1 * -9 + z * -9) = 5 + -8z (9 + -9z) = 5 + -8z Solving 9 + -9z = 5 + -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. 9 + -9z + 8z = 5 + -8z + 8z Combine like terms: -9z + 8z = -1z 9 + -1z = 5 + -8z + 8z Combine like terms: -8z + 8z = 0 9 + -1z = 5 + 0 9 + -1z = 5 Add '-9' to each side of the equation. 9 + -9 + -1z = 5 + -9 Combine like terms: 9 + -9 = 0 0 + -1z = 5 + -9 -1z = 5 + -9 Combine like terms: 5 + -9 = -4 -1z = -4 Divide each side by '-1'. z = 4 Simplifying z = 4
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