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Simplifying 5z + 12 = 3z Reorder the terms: 12 + 5z = 3z Solving 12 + 5z = 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 12 + 5z + -3z = 3z + -3z Combine like terms: 5z + -3z = 2z 12 + 2z = 3z + -3z Combine like terms: 3z + -3z = 0 12 + 2z = 0 Add '-12' to each side of the equation. 12 + -12 + 2z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 2z = 0 + -12 2z = 0 + -12 Combine like terms: 0 + -12 = -12 2z = -12 Divide each side by '2'. z = -6 Simplifying z = -6
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