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Simplifying 8z + 12 = 5z + 21 Reorder the terms: 12 + 8z = 5z + 21 Reorder the terms: 12 + 8z = 21 + 5z Solving 12 + 8z = 21 + 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 + 8z + -5z = 21 + 5z + -5z Combine like terms: 8z + -5z = 3z 12 + 3z = 21 + 5z + -5z Combine like terms: 5z + -5z = 0 12 + 3z = 21 + 0 12 + 3z = 21 Add '-12' to each side of the equation. 12 + -12 + 3z = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 3z = 21 + -12 3z = 21 + -12 Combine like terms: 21 + -12 = 9 3z = 9 Divide each side by '3'. z = 3 Simplifying z = 3
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