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Simplifying -40z + -0.4 = -50z + 1.1 Reorder the terms: -0.4 + -40z = -50z + 1.1 Reorder the terms: -0.4 + -40z = 1.1 + -50z Solving -0.4 + -40z = 1.1 + -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. -0.4 + -40z + 50z = 1.1 + -50z + 50z Combine like terms: -40z + 50z = 10z -0.4 + 10z = 1.1 + -50z + 50z Combine like terms: -50z + 50z = 0 -0.4 + 10z = 1.1 + 0 -0.4 + 10z = 1.1 Add '0.4' to each side of the equation. -0.4 + 0.4 + 10z = 1.1 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 10z = 1.1 + 0.4 10z = 1.1 + 0.4 Combine like terms: 1.1 + 0.4 = 1.5 10z = 1.5 Divide each side by '10'. z = 0.15 Simplifying z = 0.15
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