Which is the correct algebraic expression after combining like terms? 6 c d plus 3 c minus 7 d minus 3 c d plus 4 d plus 1 third c

Combine terms with the same variables: 6cd − 3cd = 3cd. The c terms are 3c + ⅓c = 3⅓c, and the d terms are −7d + 4d = −3d. The resulting expression is 3cd + 3⅓c − 3d, which is choice A.

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