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Simplifying 10z + 5z + -1 = 0 Reorder the terms: -1 + 10z + 5z = 0 Combine like terms: 10z + 5z = 15z -1 + 15z = 0 Solving -1 + 15z = 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 + 15z = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 15z = 0 + 1 15z = 0 + 1 Combine like terms: 0 + 1 = 1 15z = 1 Divide each side by '15'. z = 0.06666666667 Simplifying z = 0.06666666667
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