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Simplifying -9z + 19z = 22 + -23 + -1(-9z + 25) Combine like terms: -9z + 19z = 10z 10z = 22 + -23 + -1(-9z + 25) Reorder the terms: 10z = 22 + -23 + -1(25 + -9z) 10z = 22 + -23 + (25 * -1 + -9z * -1) 10z = 22 + -23 + (-25 + 9z) Combine like terms: 22 + -23 = -1 10z = -1 + -25 + 9z Combine like terms: -1 + -25 = -26 10z = -26 + 9z Solving 10z = -26 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 10z + -9z = -26 + 9z + -9z Combine like terms: 10z + -9z = 1z 1z = -26 + 9z + -9z Combine like terms: 9z + -9z = 0 1z = -26 + 0 1z = -26 Divide each side by '1'. z = -26 Simplifying z = -26
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