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Simplifying 14.2 = 0.4(20n + -7b) Reorder the terms: 14.2 = 0.4(-7b + 20n) 14.2 = (-7b * 0.4 + 20n * 0.4) 14.2 = (-2.8b + 8n) Solving 14.2 = -2.8b + 8n Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '2.8b' to each side of the equation. 14.2 + 2.8b = -2.8b + 2.8b + 8n Combine like terms: -2.8b + 2.8b = 0.0 14.2 + 2.8b = 0.0 + 8n 14.2 + 2.8b = 8n Add '-14.2' to each side of the equation. 14.2 + -14.2 + 2.8b = -14.2 + 8n Combine like terms: 14.2 + -14.2 = 0.0 0.0 + 2.8b = -14.2 + 8n 2.8b = -14.2 + 8n Divide each side by '2.8'. b = -5.071428571 + 2.857142857n Simplifying b = -5.071428571 + 2.857142857n
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