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Simplifying 1z + 7 + 8z + 1 + 2z + 3z + 2 = 218 Reorder the terms: 7 + 1 + 2 + 1z + 8z + 2z + 3z = 218 Combine like terms: 7 + 1 = 8 8 + 2 + 1z + 8z + 2z + 3z = 218 Combine like terms: 8 + 2 = 10 10 + 1z + 8z + 2z + 3z = 218 Combine like terms: 1z + 8z = 9z 10 + 9z + 2z + 3z = 218 Combine like terms: 9z + 2z = 11z 10 + 11z + 3z = 218 Combine like terms: 11z + 3z = 14z 10 + 14z = 218 Solving 10 + 14z = 218 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 14z = 218 + -10 Combine like terms: 10 + -10 = 0 0 + 14z = 218 + -10 14z = 218 + -10 Combine like terms: 218 + -10 = 208 14z = 208 Divide each side by '14'. z = 14.85714286 Simplifying z = 14.85714286
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