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Simplifying -30z + -0.1 = -40z + 1.8 Reorder the terms: -0.1 + -30z = -40z + 1.8 Reorder the terms: -0.1 + -30z = 1.8 + -40z Solving -0.1 + -30z = 1.8 + -40z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '40z' to each side of the equation. -0.1 + -30z + 40z = 1.8 + -40z + 40z Combine like terms: -30z + 40z = 10z -0.1 + 10z = 1.8 + -40z + 40z Combine like terms: -40z + 40z = 0 -0.1 + 10z = 1.8 + 0 -0.1 + 10z = 1.8 Add '0.1' to each side of the equation. -0.1 + 0.1 + 10z = 1.8 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 10z = 1.8 + 0.1 10z = 1.8 + 0.1 Combine like terms: 1.8 + 0.1 = 1.9 10z = 1.9 Divide each side by '10'. z = 0.19 Simplifying z = 0.19
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