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Simplifying -10z + 9 = -5 + 4z Reorder the terms: 9 + -10z = -5 + 4z Solving 9 + -10z = -5 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 9 + -10z + -4z = -5 + 4z + -4z Combine like terms: -10z + -4z = -14z 9 + -14z = -5 + 4z + -4z Combine like terms: 4z + -4z = 0 9 + -14z = -5 + 0 9 + -14z = -5 Add '-9' to each side of the equation. 9 + -9 + -14z = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -14z = -5 + -9 -14z = -5 + -9 Combine like terms: -5 + -9 = -14 -14z = -14 Divide each side by '-14'. z = 1 Simplifying z = 1
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