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Simplifying 32 + 2z = 8z + -16 Reorder the terms: 32 + 2z = -16 + 8z Solving 32 + 2z = -16 + 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 + 2z + -8z = -16 + 8z + -8z Combine like terms: 2z + -8z = -6z 32 + -6z = -16 + 8z + -8z Combine like terms: 8z + -8z = 0 32 + -6z = -16 + 0 32 + -6z = -16 Add '-32' to each side of the equation. 32 + -32 + -6z = -16 + -32 Combine like terms: 32 + -32 = 0 0 + -6z = -16 + -32 -6z = -16 + -32 Combine like terms: -16 + -32 = -48 -6z = -48 Divide each side by '-6'. z = 8 Simplifying z = 8
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