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Simplifying 8z + 6 = 5z + 21 Reorder the terms: 6 + 8z = 5z + 21 Reorder the terms: 6 + 8z = 21 + 5z Solving 6 + 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. 6 + 8z + -5z = 21 + 5z + -5z Combine like terms: 8z + -5z = 3z 6 + 3z = 21 + 5z + -5z Combine like terms: 5z + -5z = 0 6 + 3z = 21 + 0 6 + 3z = 21 Add '-6' to each side of the equation. 6 + -6 + 3z = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 3z = 21 + -6 3z = 21 + -6 Combine like terms: 21 + -6 = 15 3z = 15 Divide each side by '3'. z = 5 Simplifying z = 5
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