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Simplifying 6z + -3z + 3 = 12 + 6 Reorder the terms: 3 + 6z + -3z = 12 + 6 Combine like terms: 6z + -3z = 3z 3 + 3z = 12 + 6 Combine like terms: 12 + 6 = 18 3 + 3z = 18 Solving 3 + 3z = 18 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 3z = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 3z = 18 + -3 3z = 18 + -3 Combine like terms: 18 + -3 = 15 3z = 15 Divide each side by '3'. z = 5 Simplifying z = 5
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