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Simplifying -20z + -0.9 = -30z + 1.3 Reorder the terms: -0.9 + -20z = -30z + 1.3 Reorder the terms: -0.9 + -20z = 1.3 + -30z Solving -0.9 + -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. -0.9 + -20z + 30z = 1.3 + -30z + 30z Combine like terms: -20z + 30z = 10z -0.9 + 10z = 1.3 + -30z + 30z Combine like terms: -30z + 30z = 0 -0.9 + 10z = 1.3 + 0 -0.9 + 10z = 1.3 Add '0.9' to each side of the equation. -0.9 + 0.9 + 10z = 1.3 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 10z = 1.3 + 0.9 10z = 1.3 + 0.9 Combine like terms: 1.3 + 0.9 = 2.2 10z = 2.2 Divide each side by '10'. z = 0.22 Simplifying z = 0.22
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