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Simplifying 12z + 2.4 = 0.8z + 3 Reorder the terms: 2.4 + 12z = 0.8z + 3 Reorder the terms: 2.4 + 12z = 3 + 0.8z Solving 2.4 + 12z = 3 + 0.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.8z' to each side of the equation. 2.4 + 12z + -0.8z = 3 + 0.8z + -0.8z Combine like terms: 12z + -0.8z = 11.2z 2.4 + 11.2z = 3 + 0.8z + -0.8z Combine like terms: 0.8z + -0.8z = 0.0 2.4 + 11.2z = 3 + 0.0 2.4 + 11.2z = 3 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 11.2z = 3 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 11.2z = 3 + -2.4 11.2z = 3 + -2.4 Combine like terms: 3 + -2.4 = 0.6 11.2z = 0.6 Divide each side by '11.2'. z = 0.05357142857 Simplifying z = 0.05357142857
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