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Simplifying 2z + 8 = 7z + -24 Reorder the terms: 8 + 2z = 7z + -24 Reorder the terms: 8 + 2z = -24 + 7z Solving 8 + 2z = -24 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 8 + 2z + -7z = -24 + 7z + -7z Combine like terms: 2z + -7z = -5z 8 + -5z = -24 + 7z + -7z Combine like terms: 7z + -7z = 0 8 + -5z = -24 + 0 8 + -5z = -24 Add '-8' to each side of the equation. 8 + -8 + -5z = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -5z = -24 + -8 -5z = -24 + -8 Combine like terms: -24 + -8 = -32 -5z = -32 Divide each side by '-5'. z = 6.4 Simplifying z = 6.4
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