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Simplifying 0.5(6z + 10) = 29 Reorder the terms: 0.5(10 + 6z) = 29 (10 * 0.5 + 6z * 0.5) = 29 (5 + 3z) = 29 Solving 5 + 3z = 29 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3z = 29 + -5 Combine like terms: 5 + -5 = 0 0 + 3z = 29 + -5 3z = 29 + -5 Combine like terms: 29 + -5 = 24 3z = 24 Divide each side by '3'. z = 8 Simplifying z = 8
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