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Simplifying 40.2z + 1 = 421 + -1.8z Reorder the terms: 1 + 40.2z = 421 + -1.8z Solving 1 + 40.2z = 421 + -1.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1.8z' to each side of the equation. 1 + 40.2z + 1.8z = 421 + -1.8z + 1.8z Combine like terms: 40.2z + 1.8z = 42z 1 + 42z = 421 + -1.8z + 1.8z Combine like terms: -1.8z + 1.8z = 0.0 1 + 42z = 421 + 0.0 1 + 42z = 421 Add '-1' to each side of the equation. 1 + -1 + 42z = 421 + -1 Combine like terms: 1 + -1 = 0 0 + 42z = 421 + -1 42z = 421 + -1 Combine like terms: 421 + -1 = 420 42z = 420 Divide each side by '42'. z = 10 Simplifying z = 10
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