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Simplifying 0.5(10z + 4) = 17 Reorder the terms: 0.5(4 + 10z) = 17 (4 * 0.5 + 10z * 0.5) = 17 (2 + 5z) = 17 Solving 2 + 5z = 17 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5z = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 5z = 17 + -2 5z = 17 + -2 Combine like terms: 17 + -2 = 15 5z = 15 Divide each side by '5'. z = 3 Simplifying z = 3
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