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Simplifying 12z + -23z + 12 = -32 Reorder the terms: 12 + 12z + -23z = -32 Combine like terms: 12z + -23z = -11z 12 + -11z = -32 Solving 12 + -11z = -32 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -11z = -32 + -12 Combine like terms: 12 + -12 = 0 0 + -11z = -32 + -12 -11z = -32 + -12 Combine like terms: -32 + -12 = -44 -11z = -44 Divide each side by '-11'. z = 4 Simplifying z = 4
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