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Simplifying 4z + 32 = 2z + 16 Reorder the terms: 32 + 4z = 2z + 16 Reorder the terms: 32 + 4z = 16 + 2z Solving 32 + 4z = 16 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 32 + 4z + -2z = 16 + 2z + -2z Combine like terms: 4z + -2z = 2z 32 + 2z = 16 + 2z + -2z Combine like terms: 2z + -2z = 0 32 + 2z = 16 + 0 32 + 2z = 16 Add '-32' to each side of the equation. 32 + -32 + 2z = 16 + -32 Combine like terms: 32 + -32 = 0 0 + 2z = 16 + -32 2z = 16 + -32 Combine like terms: 16 + -32 = -16 2z = -16 Divide each side by '2'. z = -8 Simplifying z = -8
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