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Simplifying -30z + -0.3 = -40z + 1.3 Reorder the terms: -0.3 + -30z = -40z + 1.3 Reorder the terms: -0.3 + -30z = 1.3 + -40z Solving -0.3 + -30z = 1.3 + -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. -0.3 + -30z + 40z = 1.3 + -40z + 40z Combine like terms: -30z + 40z = 10z -0.3 + 10z = 1.3 + -40z + 40z Combine like terms: -40z + 40z = 0 -0.3 + 10z = 1.3 + 0 -0.3 + 10z = 1.3 Add '0.3' to each side of the equation. -0.3 + 0.3 + 10z = 1.3 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 10z = 1.3 + 0.3 10z = 1.3 + 0.3 Combine like terms: 1.3 + 0.3 = 1.6 10z = 1.6 Divide each side by '10'. z = 0.16 Simplifying z = 0.16
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