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Simplifying -10z + -0.5 = -20z + 16 Reorder the terms: -0.5 + -10z = -20z + 16 Reorder the terms: -0.5 + -10z = 16 + -20z Solving -0.5 + -10z = 16 + -20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '20z' to each side of the equation. -0.5 + -10z + 20z = 16 + -20z + 20z Combine like terms: -10z + 20z = 10z -0.5 + 10z = 16 + -20z + 20z Combine like terms: -20z + 20z = 0 -0.5 + 10z = 16 + 0 -0.5 + 10z = 16 Add '0.5' to each side of the equation. -0.5 + 0.5 + 10z = 16 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 10z = 16 + 0.5 10z = 16 + 0.5 Combine like terms: 16 + 0.5 = 16.5 10z = 16.5 Divide each side by '10'. z = 1.65 Simplifying z = 1.65
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