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Simplifying 1 + -8z = 4z + -32 Reorder the terms: 1 + -8z = -32 + 4z Solving 1 + -8z = -32 + 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. 1 + -8z + -4z = -32 + 4z + -4z Combine like terms: -8z + -4z = -12z 1 + -12z = -32 + 4z + -4z Combine like terms: 4z + -4z = 0 1 + -12z = -32 + 0 1 + -12z = -32 Add '-1' to each side of the equation. 1 + -1 + -12z = -32 + -1 Combine like terms: 1 + -1 = 0 0 + -12z = -32 + -1 -12z = -32 + -1 Combine like terms: -32 + -1 = -33 -12z = -33 Divide each side by '-12'. z = 2.75 Simplifying z = 2.75
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