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Simplifying 2z + -4 = -4z + 32 Reorder the terms: -4 + 2z = -4z + 32 Reorder the terms: -4 + 2z = 32 + -4z Solving -4 + 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. -4 + 2z + 4z = 32 + -4z + 4z Combine like terms: 2z + 4z = 6z -4 + 6z = 32 + -4z + 4z Combine like terms: -4z + 4z = 0 -4 + 6z = 32 + 0 -4 + 6z = 32 Add '4' to each side of the equation. -4 + 4 + 6z = 32 + 4 Combine like terms: -4 + 4 = 0 0 + 6z = 32 + 4 6z = 32 + 4 Combine like terms: 32 + 4 = 36 6z = 36 Divide each side by '6'. z = 6 Simplifying z = 6
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