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Simplifying 8(4 + -1z) = -1z (4 * 8 + -1z * 8) = -1z (32 + -8z) = -1z Solving 32 + -8z = -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 32 + -8z + z = -1z + z Combine like terms: -8z + z = -7z 32 + -7z = -1z + z Combine like terms: -1z + z = 0 32 + -7z = 0 Add '-32' to each side of the equation. 32 + -32 + -7z = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -7z = 0 + -32 -7z = 0 + -32 Combine like terms: 0 + -32 = -32 -7z = -32 Divide each side by '-7'. z = 4.571428571 Simplifying z = 4.571428571
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