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Simplifying z + 10 + 4z + z + 50 = 380 Reorder the terms: 10 + 50 + z + 4z + z = 380 Combine like terms: 10 + 50 = 60 60 + z + 4z + z = 380 Combine like terms: z + 4z = 5z 60 + 5z + z = 380 Combine like terms: 5z + z = 6z 60 + 6z = 380 Solving 60 + 6z = 380 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + 6z = 380 + -60 Combine like terms: 60 + -60 = 0 0 + 6z = 380 + -60 6z = 380 + -60 Combine like terms: 380 + -60 = 320 6z = 320 Divide each side by '6'. z = 53.33333333 Simplifying z = 53.33333333
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