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Simplifying -20z + -0.1 = -30z + 1.3 Reorder the terms: -0.1 + -20z = -30z + 1.3 Reorder the terms: -0.1 + -20z = 1.3 + -30z Solving -0.1 + -20z = 1.3 + -30z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '30z' to each side of the equation. -0.1 + -20z + 30z = 1.3 + -30z + 30z Combine like terms: -20z + 30z = 10z -0.1 + 10z = 1.3 + -30z + 30z Combine like terms: -30z + 30z = 0 -0.1 + 10z = 1.3 + 0 -0.1 + 10z = 1.3 Add '0.1' to each side of the equation. -0.1 + 0.1 + 10z = 1.3 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 10z = 1.3 + 0.1 10z = 1.3 + 0.1 Combine like terms: 1.3 + 0.1 = 1.4 10z = 1.4 Divide each side by '10'. z = 0.14 Simplifying z = 0.14
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