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Simplifying z + 50 + 3z + 15 + z + 15 + 2z + -28 = 360 Reorder the terms: 50 + 15 + 15 + -28 + z + 3z + z + 2z = 360 Combine like terms: 50 + 15 = 65 65 + 15 + -28 + z + 3z + z + 2z = 360 Combine like terms: 65 + 15 = 80 80 + -28 + z + 3z + z + 2z = 360 Combine like terms: 80 + -28 = 52 52 + z + 3z + z + 2z = 360 Combine like terms: z + 3z = 4z 52 + 4z + z + 2z = 360 Combine like terms: 4z + z = 5z 52 + 5z + 2z = 360 Combine like terms: 5z + 2z = 7z 52 + 7z = 360 Solving 52 + 7z = 360 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 7z = 360 + -52 Combine like terms: 52 + -52 = 0 0 + 7z = 360 + -52 7z = 360 + -52 Combine like terms: 360 + -52 = 308 7z = 308 Divide each side by '7'. z = 44 Simplifying z = 44
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