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Simplifying 3z + 5 + 2z = 12 + 4z Reorder the terms: 5 + 3z + 2z = 12 + 4z Combine like terms: 3z + 2z = 5z 5 + 5z = 12 + 4z Solving 5 + 5z = 12 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 5 + 5z + -4z = 12 + 4z + -4z Combine like terms: 5z + -4z = 1z 5 + 1z = 12 + 4z + -4z Combine like terms: 4z + -4z = 0 5 + 1z = 12 + 0 5 + 1z = 12 Add '-5' to each side of the equation. 5 + -5 + 1z = 12 + -5 Combine like terms: 5 + -5 = 0 0 + 1z = 12 + -5 1z = 12 + -5 Combine like terms: 12 + -5 = 7 1z = 7 Divide each side by '1'. z = 7 Simplifying z = 7
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