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Simplifying -30z + -0.9 = -40z + 1.4 Reorder the terms: -0.9 + -30z = -40z + 1.4 Reorder the terms: -0.9 + -30z = 1.4 + -40z Solving -0.9 + -30z = 1.4 + -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. -0.9 + -30z + 40z = 1.4 + -40z + 40z Combine like terms: -30z + 40z = 10z -0.9 + 10z = 1.4 + -40z + 40z Combine like terms: -40z + 40z = 0 -0.9 + 10z = 1.4 + 0 -0.9 + 10z = 1.4 Add '0.9' to each side of the equation. -0.9 + 0.9 + 10z = 1.4 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 10z = 1.4 + 0.9 10z = 1.4 + 0.9 Combine like terms: 1.4 + 0.9 = 2.3 10z = 2.3 Divide each side by '10'. z = 0.23 Simplifying z = 0.23
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