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Simplifying 6z + 3 = 5z + 12 Reorder the terms: 3 + 6z = 5z + 12 Reorder the terms: 3 + 6z = 12 + 5z Solving 3 + 6z = 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 + 6z + -5z = 12 + 5z + -5z Combine like terms: 6z + -5z = 1z 3 + 1z = 12 + 5z + -5z Combine like terms: 5z + -5z = 0 3 + 1z = 12 + 0 3 + 1z = 12 Add '-3' to each side of the equation. 3 + -3 + 1z = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 1z = 12 + -3 1z = 12 + -3 Combine like terms: 12 + -3 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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