To expand and simplify the expression 6(3c+4)-3(2c-4), we can use the distributive property to multiply each term inside the parentheses by the respective coefficient. Then, we can simplify by combining like terms.
6(3c+4) - 3(2c-4)
= 18c + 24 - 6c + 12 [Applying the distributive property]
= (18c - 6c) + (24 + 12) [Combining like terms]
= 12c + 36 [Simplifying further]
So, the expanded and simplified form of 6(3c+4)-3(2c-4) is 12c + 36.