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Simplifying 10z + 5(z + -1) = 0 Reorder the terms: 10z + 5(-1 + z) = 0 10z + (-1 * 5 + z * 5) = 0 10z + (-5 + 5z) = 0 Reorder the terms: -5 + 10z + 5z = 0 Combine like terms: 10z + 5z = 15z -5 + 15z = 0 Solving -5 + 15z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 15z = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 15z = 0 + 5 15z = 0 + 5 Combine like terms: 0 + 5 = 5 15z = 5 Divide each side by '15'. z = 0.3333333333 Simplifying z = 0.3333333333
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