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Simplifying 8(5c + 3) = -2(2c + 40) Reorder the terms: 8(3 + 5c) = -2(2c + 40) (3 * 8 + 5c * 8) = -2(2c + 40) (24 + 40c) = -2(2c + 40) Reorder the terms: 24 + 40c = -2(40 + 2c) 24 + 40c = (40 * -2 + 2c * -2) 24 + 40c = (-80 + -4c) Solving 24 + 40c = -80 + -4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '4c' to each side of the equation. 24 + 40c + 4c = -80 + -4c + 4c Combine like terms: 40c + 4c = 44c 24 + 44c = -80 + -4c + 4c Combine like terms: -4c + 4c = 0 24 + 44c = -80 + 0 24 + 44c = -80 Add '-24' to each side of the equation. 24 + -24 + 44c = -80 + -24 Combine like terms: 24 + -24 = 0 0 + 44c = -80 + -24 44c = -80 + -24 Combine like terms: -80 + -24 = -104 44c = -104 Divide each side by '44'. c = -2.363636364 Simplifying c = -2.363636364
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