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Simplifying 12z + 32 = 8z + -43 Reorder the terms: 32 + 12z = 8z + -43 Reorder the terms: 32 + 12z = -43 + 8z Solving 32 + 12z = -43 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 32 + 12z + -8z = -43 + 8z + -8z Combine like terms: 12z + -8z = 4z 32 + 4z = -43 + 8z + -8z Combine like terms: 8z + -8z = 0 32 + 4z = -43 + 0 32 + 4z = -43 Add '-32' to each side of the equation. 32 + -32 + 4z = -43 + -32 Combine like terms: 32 + -32 = 0 0 + 4z = -43 + -32 4z = -43 + -32 Combine like terms: -43 + -32 = -75 4z = -75 Divide each side by '4'. z = -18.75 Simplifying z = -18.75
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