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Simplifying 9(z + -1) = 8 + 10z Reorder the terms: 9(-1 + z) = 8 + 10z (-1 * 9 + z * 9) = 8 + 10z (-9 + 9z) = 8 + 10z Solving -9 + 9z = 8 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -9 + 9z + -10z = 8 + 10z + -10z Combine like terms: 9z + -10z = -1z -9 + -1z = 8 + 10z + -10z Combine like terms: 10z + -10z = 0 -9 + -1z = 8 + 0 -9 + -1z = 8 Add '9' to each side of the equation. -9 + 9 + -1z = 8 + 9 Combine like terms: -9 + 9 = 0 0 + -1z = 8 + 9 -1z = 8 + 9 Combine like terms: 8 + 9 = 17 -1z = 17 Divide each side by '-1'. z = -17 Simplifying z = -17
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