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Simplifying 3.9 + 6.9z = z + 33.9 Reorder the terms: 3.9 + 6.9z = 33.9 + z Solving 3.9 + 6.9z = 33.9 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 3.9 + 6.9z + -1z = 33.9 + z + -1z Combine like terms: 6.9z + -1z = 5.9z 3.9 + 5.9z = 33.9 + z + -1z Combine like terms: z + -1z = 0 3.9 + 5.9z = 33.9 + 0 3.9 + 5.9z = 33.9 Add '-3.9' to each side of the equation. 3.9 + -3.9 + 5.9z = 33.9 + -3.9 Combine like terms: 3.9 + -3.9 = 0.0 0.0 + 5.9z = 33.9 + -3.9 5.9z = 33.9 + -3.9 Combine like terms: 33.9 + -3.9 = 30 5.9z = 30 Divide each side by '5.9'. z = 5.084745763 Simplifying z = 5.084745763
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