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Simplifying 5z + 8 = 4z + 20 Reorder the terms: 8 + 5z = 4z + 20 Reorder the terms: 8 + 5z = 20 + 4z Solving 8 + 5z = 20 + 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 + 5z + -4z = 20 + 4z + -4z Combine like terms: 5z + -4z = 1z 8 + 1z = 20 + 4z + -4z Combine like terms: 4z + -4z = 0 8 + 1z = 20 + 0 8 + 1z = 20 Add '-8' to each side of the equation. 8 + -8 + 1z = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 20 + -8 1z = 20 + -8 Combine like terms: 20 + -8 = 12 1z = 12 Divide each side by '1'. z = 12 Simplifying z = 12
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