Simplifiy 6(3q-4)+18-12q-7(4q+5)

Answer 1

To simplify the expression 6(3q-4)+18-12q-7(4q+5), we can apply the distributive property and combine like terms.

Starting with the first term, 6(3q-4), we distribute 6 to both terms inside the parentheses:

6(3q-4) = 6 * 3q - 6 * 4 = 18q - 24

Next, we have the term 7(4q+5). Distributing 7 to both terms inside the parentheses:

7(4q+5) = 7 * 4q + 7 * 5 = 28q + 35

Now let's put the simplified expressions together:

18q - 24 + 18 - 12q - 28q - 35

Combining like terms:

(18q - 12q - 28q) + (-24 + 18 - 35)

Simplifying the terms inside the parentheses:

(-22q) + (-41)

Finally, combining the remaining like terms:

-22q - 41

So, the simplified expression is -22q - 41.