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Simplifying -40z + -0.5 = -50z + 1.8 Reorder the terms: -0.5 + -40z = -50z + 1.8 Reorder the terms: -0.5 + -40z = 1.8 + -50z Solving -0.5 + -40z = 1.8 + -50z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '50z' to each side of the equation. -0.5 + -40z + 50z = 1.8 + -50z + 50z Combine like terms: -40z + 50z = 10z -0.5 + 10z = 1.8 + -50z + 50z Combine like terms: -50z + 50z = 0 -0.5 + 10z = 1.8 + 0 -0.5 + 10z = 1.8 Add '0.5' to each side of the equation. -0.5 + 0.5 + 10z = 1.8 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + 10z = 1.8 + 0.5 10z = 1.8 + 0.5 Combine like terms: 1.8 + 0.5 = 2.3 10z = 2.3 Divide each side by '10'. z = 0.23 Simplifying z = 0.23
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