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Simplifying 5z + 12 = 3z + 29 Reorder the terms: 12 + 5z = 3z + 29 Reorder the terms: 12 + 5z = 29 + 3z Solving 12 + 5z = 29 + 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 = 29 + 3z + -3z Combine like terms: 5z + -3z = 2z 12 + 2z = 29 + 3z + -3z Combine like terms: 3z + -3z = 0 12 + 2z = 29 + 0 12 + 2z = 29 Add '-12' to each side of the equation. 12 + -12 + 2z = 29 + -12 Combine like terms: 12 + -12 = 0 0 + 2z = 29 + -12 2z = 29 + -12 Combine like terms: 29 + -12 = 17 2z = 17 Divide each side by '2'. z = 8.5 Simplifying z = 8.5
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