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Simplifying 6z + 10 + 2z + -1 + 7z + 14 = 0 Reorder the terms: 10 + -1 + 14 + 6z + 2z + 7z = 0 Combine like terms: 10 + -1 = 9 9 + 14 + 6z + 2z + 7z = 0 Combine like terms: 9 + 14 = 23 23 + 6z + 2z + 7z = 0 Combine like terms: 6z + 2z = 8z 23 + 8z + 7z = 0 Combine like terms: 8z + 7z = 15z 23 + 15z = 0 Solving 23 + 15z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 15z = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 15z = 0 + -23 15z = 0 + -23 Combine like terms: 0 + -23 = -23 15z = -23 Divide each side by '15'. z = -1.533333333 Simplifying z = -1.533333333
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