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Simplifying 0.4(8c + -72) = 86.4 Reorder the terms: 0.4(-72 + 8c) = 86.4 (-72 * 0.4 + 8c * 0.4) = 86.4 (-28.8 + 3.2c) = 86.4 Solving -28.8 + 3.2c = 86.4 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '28.8' to each side of the equation. -28.8 + 28.8 + 3.2c = 86.4 + 28.8 Combine like terms: -28.8 + 28.8 = 0.0 0.0 + 3.2c = 86.4 + 28.8 3.2c = 86.4 + 28.8 Combine like terms: 86.4 + 28.8 = 115.2 3.2c = 115.2 Divide each side by '3.2'. c = 36 Simplifying c = 36
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