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