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Simplifying 1.28z + 3 = 15 + -0.4z Reorder the terms: 3 + 1.28z = 15 + -0.4z Solving 3 + 1.28z = 15 + -0.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.4z' to each side of the equation. 3 + 1.28z + 0.4z = 15 + -0.4z + 0.4z Combine like terms: 1.28z + 0.4z = 1.68z 3 + 1.68z = 15 + -0.4z + 0.4z Combine like terms: -0.4z + 0.4z = 0.0 3 + 1.68z = 15 + 0.0 3 + 1.68z = 15 Add '-3' to each side of the equation. 3 + -3 + 1.68z = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 1.68z = 15 + -3 1.68z = 15 + -3 Combine like terms: 15 + -3 = 12 1.68z = 12 Divide each side by '1.68'. z = 7.142857143 Simplifying z = 7.142857143
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