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Simplifying 5z + -8 = 3z + 12 Reorder the terms: -8 + 5z = 3z + 12 Reorder the terms: -8 + 5z = 12 + 3z Solving -8 + 5z = 12 + 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. -8 + 5z + -3z = 12 + 3z + -3z Combine like terms: 5z + -3z = 2z -8 + 2z = 12 + 3z + -3z Combine like terms: 3z + -3z = 0 -8 + 2z = 12 + 0 -8 + 2z = 12 Add '8' to each side of the equation. -8 + 8 + 2z = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 2z = 12 + 8 2z = 12 + 8 Combine like terms: 12 + 8 = 20 2z = 20 Divide each side by '2'. z = 10 Simplifying z = 10
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