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Simplifying 3(8 + c) = 2(4 + c) (8 * 3 + c * 3) = 2(4 + c) (24 + 3c) = 2(4 + c) 24 + 3c = (4 * 2 + c * 2) 24 + 3c = (8 + 2c) Solving 24 + 3c = 8 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 24 + 3c + -2c = 8 + 2c + -2c Combine like terms: 3c + -2c = 1c 24 + 1c = 8 + 2c + -2c Combine like terms: 2c + -2c = 0 24 + 1c = 8 + 0 24 + 1c = 8 Add '-24' to each side of the equation. 24 + -24 + 1c = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 1c = 8 + -24 1c = 8 + -24 Combine like terms: 8 + -24 = -16 1c = -16 Divide each side by '1'. c = -16 Simplifying c = -16
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