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Simplifying 4(2c + 3) = 3(c + 8) Reorder the terms: 4(3 + 2c) = 3(c + 8) (3 * 4 + 2c * 4) = 3(c + 8) (12 + 8c) = 3(c + 8) Reorder the terms: 12 + 8c = 3(8 + c) 12 + 8c = (8 * 3 + c * 3) 12 + 8c = (24 + 3c) Solving 12 + 8c = 24 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 12 + 8c + -3c = 24 + 3c + -3c Combine like terms: 8c + -3c = 5c 12 + 5c = 24 + 3c + -3c Combine like terms: 3c + -3c = 0 12 + 5c = 24 + 0 12 + 5c = 24 Add '-12' to each side of the equation. 12 + -12 + 5c = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 5c = 24 + -12 5c = 24 + -12 Combine like terms: 24 + -12 = 12 5c = 12 Divide each side by '5'. c = 2.4 Simplifying c = 2.4
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