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Simplifying -21z + -0.9 = -31z + 1.8 Reorder the terms: -0.9 + -21z = -31z + 1.8 Reorder the terms: -0.9 + -21z = 1.8 + -31z Solving -0.9 + -21z = 1.8 + -31z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '31z' to each side of the equation. -0.9 + -21z + 31z = 1.8 + -31z + 31z Combine like terms: -21z + 31z = 10z -0.9 + 10z = 1.8 + -31z + 31z Combine like terms: -31z + 31z = 0 -0.9 + 10z = 1.8 + 0 -0.9 + 10z = 1.8 Add '0.9' to each side of the equation. -0.9 + 0.9 + 10z = 1.8 + 0.9 Combine like terms: -0.9 + 0.9 = 0.0 0.0 + 10z = 1.8 + 0.9 10z = 1.8 + 0.9 Combine like terms: 1.8 + 0.9 = 2.7 10z = 2.7 Divide each side by '10'. z = 0.27 Simplifying z = 0.27
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