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Simplifying 0.5(2z + 8) + 6z = 34 Reorder the terms: 0.5(8 + 2z) + 6z = 34 (8 * 0.5 + 2z * 0.5) + 6z = 34 (4 + 1z) + 6z = 34 Combine like terms: 1z + 6z = 7z 4 + 7z = 34 Solving 4 + 7z = 34 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7z = 34 + -4 Combine like terms: 4 + -4 = 0 0 + 7z = 34 + -4 7z = 34 + -4 Combine like terms: 34 + -4 = 30 7z = 30 Divide each side by '7'. z = 4.285714286 Simplifying z = 4.285714286
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