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Simplifying 0.4(10 + -5c) = 5c + -16 (10 * 0.4 + -5c * 0.4) = 5c + -16 (4 + -2c) = 5c + -16 Reorder the terms: 4 + -2c = -16 + 5c Solving 4 + -2c = -16 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 4 + -2c + -5c = -16 + 5c + -5c Combine like terms: -2c + -5c = -7c 4 + -7c = -16 + 5c + -5c Combine like terms: 5c + -5c = 0 4 + -7c = -16 + 0 4 + -7c = -16 Add '-4' to each side of the equation. 4 + -4 + -7c = -16 + -4 Combine like terms: 4 + -4 = 0 0 + -7c = -16 + -4 -7c = -16 + -4 Combine like terms: -16 + -4 = -20 -7c = -20 Divide each side by '-7'. c = 2.857142857 Simplifying c = 2.857142857
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