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Simplifying 6z + 5 = 12 + 5z + -2 Reorder the terms: 5 + 6z = 12 + 5z + -2 Reorder the terms: 5 + 6z = 12 + -2 + 5z Combine like terms: 12 + -2 = 10 5 + 6z = 10 + 5z Solving 5 + 6z = 10 + 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. 5 + 6z + -5z = 10 + 5z + -5z Combine like terms: 6z + -5z = 1z 5 + 1z = 10 + 5z + -5z Combine like terms: 5z + -5z = 0 5 + 1z = 10 + 0 5 + 1z = 10 Add '-5' to each side of the equation. 5 + -5 + 1z = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = 10 + -5 1z = 10 + -5 Combine like terms: 10 + -5 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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