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Simplifying 2z + -14 + 5z + -9 + z + 14 = 180 Reorder the terms: -14 + -9 + 14 + 2z + 5z + z = 180 Combine like terms: -14 + -9 = -23 -23 + 14 + 2z + 5z + z = 180 Combine like terms: -23 + 14 = -9 -9 + 2z + 5z + z = 180 Combine like terms: 2z + 5z = 7z -9 + 7z + z = 180 Combine like terms: 7z + z = 8z -9 + 8z = 180 Solving -9 + 8z = 180 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 8z = 180 + 9 Combine like terms: -9 + 9 = 0 0 + 8z = 180 + 9 8z = 180 + 9 Combine like terms: 180 + 9 = 189 8z = 189 Divide each side by '8'. z = 23.625 Simplifying z = 23.625
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