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Simplifying 2(5z + 10) + 2(z + 8) = 360 Reorder the terms: 2(10 + 5z) + 2(z + 8) = 360 (10 * 2 + 5z * 2) + 2(z + 8) = 360 (20 + 10z) + 2(z + 8) = 360 Reorder the terms: 20 + 10z + 2(8 + z) = 360 20 + 10z + (8 * 2 + z * 2) = 360 20 + 10z + (16 + 2z) = 360 Reorder the terms: 20 + 16 + 10z + 2z = 360 Combine like terms: 20 + 16 = 36 36 + 10z + 2z = 360 Combine like terms: 10z + 2z = 12z 36 + 12z = 360 Solving 36 + 12z = 360 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 12z = 360 + -36 Combine like terms: 36 + -36 = 0 0 + 12z = 360 + -36 12z = 360 + -36 Combine like terms: 360 + -36 = 324 12z = 324 Divide each side by '12'. z = 27 Simplifying z = 27
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