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Simplifying 13y + 27(24.7037037 + -0.4814814815y + -3.37037037z) + 91z = 667 13y + (24.7037037 * 27 + -0.4814814815y * 27 + -3.37037037z * 27) + 91z = 667 13y + (666.9999999 + -13y + -90.99999999z) + 91z = 667 Reorder the terms: 666.9999999 + 13y + -13y + -90.99999999z + 91z = 667 Combine like terms: 13y + -13y = 0 666.9999999 + 0 + -90.99999999z + 91z = 667 666.9999999 + -90.99999999z + 91z = 667 Combine like terms: -90.99999999z + 91z = 0.00000001z 666.9999999 + 0.00000001z = 667 Solving 666.9999999 + 0.00000001z = 667 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-666.9999999' to each side of the equation. 666.9999999 + -666.9999999 + 0.00000001z = 667 + -666.9999999 Combine like terms: 666.9999999 + -666.9999999 = 0.0000000 0.0000000 + 0.00000001z = 667 + -666.9999999 0.00000001z = 667 + -666.9999999 Combine like terms: 667 + -666.9999999 = 0.0000001 0.00000001z = 0.0000001 Divide each side by '0.00000001'. z = 10 Simplifying z = 10
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