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Simplifying 2z + 3z + 7z + -1 = 0 Reorder the terms: -1 + 2z + 3z + 7z = 0 Combine like terms: 2z + 3z = 5z -1 + 5z + 7z = 0 Combine like terms: 5z + 7z = 12z -1 + 12z = 0 Solving -1 + 12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 12z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 12z = 0 + 1 12z = 0 + 1 Combine like terms: 0 + 1 = 1 12z = 1 Divide each side by '12'. z = 0.08333333333 Simplifying z = 0.08333333333
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