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Simplifying 8 + -14z = -24 + 12z Solving 8 + -14z = -24 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 8 + -14z + -12z = -24 + 12z + -12z Combine like terms: -14z + -12z = -26z 8 + -26z = -24 + 12z + -12z Combine like terms: 12z + -12z = 0 8 + -26z = -24 + 0 8 + -26z = -24 Add '-8' to each side of the equation. 8 + -8 + -26z = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -26z = -24 + -8 -26z = -24 + -8 Combine like terms: -24 + -8 = -32 -26z = -32 Divide each side by '-26'. z = 1.230769231 Simplifying z = 1.230769231
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