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Simplifying 2z + 6 + 7z + -3 = 5z + 12 Reorder the terms: 6 + -3 + 2z + 7z = 5z + 12 Combine like terms: 6 + -3 = 3 3 + 2z + 7z = 5z + 12 Combine like terms: 2z + 7z = 9z 3 + 9z = 5z + 12 Reorder the terms: 3 + 9z = 12 + 5z Solving 3 + 9z = 12 + 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. 3 + 9z + -5z = 12 + 5z + -5z Combine like terms: 9z + -5z = 4z 3 + 4z = 12 + 5z + -5z Combine like terms: 5z + -5z = 0 3 + 4z = 12 + 0 3 + 4z = 12 Add '-3' to each side of the equation. 3 + -3 + 4z = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 4z = 12 + -3 4z = 12 + -3 Combine like terms: 12 + -3 = 9 4z = 9 Divide each side by '4'. z = 2.25 Simplifying z = 2.25
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