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Simplifying 12z + -8 = 5z + 13 Reorder the terms: -8 + 12z = 5z + 13 Reorder the terms: -8 + 12z = 13 + 5z Solving -8 + 12z = 13 + 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. -8 + 12z + -5z = 13 + 5z + -5z Combine like terms: 12z + -5z = 7z -8 + 7z = 13 + 5z + -5z Combine like terms: 5z + -5z = 0 -8 + 7z = 13 + 0 -8 + 7z = 13 Add '8' to each side of the equation. -8 + 8 + 7z = 13 + 8 Combine like terms: -8 + 8 = 0 0 + 7z = 13 + 8 7z = 13 + 8 Combine like terms: 13 + 8 = 21 7z = 21 Divide each side by '7'. z = 3 Simplifying z = 3
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