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Simplifying 12z + -3 = 57 + 6z Reorder the terms: -3 + 12z = 57 + 6z Solving -3 + 12z = 57 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. -3 + 12z + -6z = 57 + 6z + -6z Combine like terms: 12z + -6z = 6z -3 + 6z = 57 + 6z + -6z Combine like terms: 6z + -6z = 0 -3 + 6z = 57 + 0 -3 + 6z = 57 Add '3' to each side of the equation. -3 + 3 + 6z = 57 + 3 Combine like terms: -3 + 3 = 0 0 + 6z = 57 + 3 6z = 57 + 3 Combine like terms: 57 + 3 = 60 6z = 60 Divide each side by '6'. z = 10 Simplifying z = 10
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