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Simplifying 8 + 2z = 32 + -4z Solving 8 + 2z = 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. 8 + 2z + 4z = 32 + -4z + 4z Combine like terms: 2z + 4z = 6z 8 + 6z = 32 + -4z + 4z Combine like terms: -4z + 4z = 0 8 + 6z = 32 + 0 8 + 6z = 32 Add '-8' to each side of the equation. 8 + -8 + 6z = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 6z = 32 + -8 6z = 32 + -8 Combine like terms: 32 + -8 = 24 6z = 24 Divide each side by '6'. z = 4 Simplifying z = 4
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