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Simplifying -24z + -27 = -17 + 15z + -25z Reorder the terms: -27 + -24z = -17 + 15z + -25z Combine like terms: 15z + -25z = -10z -27 + -24z = -17 + -10z Solving -27 + -24z = -17 + -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. -27 + -24z + 10z = -17 + -10z + 10z Combine like terms: -24z + 10z = -14z -27 + -14z = -17 + -10z + 10z Combine like terms: -10z + 10z = 0 -27 + -14z = -17 + 0 -27 + -14z = -17 Add '27' to each side of the equation. -27 + 27 + -14z = -17 + 27 Combine like terms: -27 + 27 = 0 0 + -14z = -17 + 27 -14z = -17 + 27 Combine like terms: -17 + 27 = 10 -14z = 10 Divide each side by '-14'. z = -0.7142857143 Simplifying z = -0.7142857143
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