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Simplifying 12 + 6z + -12 = 5z + 1 Reorder the terms: 12 + -12 + 6z = 5z + 1 Combine like terms: 12 + -12 = 0 0 + 6z = 5z + 1 6z = 5z + 1 Reorder the terms: 6z = 1 + 5z Solving 6z = 1 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. 6z + -5z = 1 + 5z + -5z Combine like terms: 6z + -5z = 1z 1z = 1 + 5z + -5z Combine like terms: 5z + -5z = 0 1z = 1 + 0 1z = 1 Divide each side by '1'. z = 1 Simplifying z = 1
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