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Simplifying 9.8z + 2 = 3.8z + 20 Reorder the terms: 2 + 9.8z = 3.8z + 20 Reorder the terms: 2 + 9.8z = 20 + 3.8z Solving 2 + 9.8z = 20 + 3.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3.8z' to each side of the equation. 2 + 9.8z + -3.8z = 20 + 3.8z + -3.8z Combine like terms: 9.8z + -3.8z = 6z 2 + 6z = 20 + 3.8z + -3.8z Combine like terms: 3.8z + -3.8z = 0.0 2 + 6z = 20 + 0.0 2 + 6z = 20 Add '-2' to each side of the equation. 2 + -2 + 6z = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 6z = 20 + -2 6z = 20 + -2 Combine like terms: 20 + -2 = 18 6z = 18 Divide each side by '6'. z = 3 Simplifying z = 3
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