Question

How do you simplify `3(5c+4d)+6(d-2c)`?

Answer 1

See the entire solution process below:

Explanation:

First, eliminate the parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

`color(red)(3)(5c + 4d) + color(blue)(6)(d - 2c) =>`

`(color(red)(3) * 5c) + (color(red)(3) * 4d) + (color(blue)(6) * d) - (color(blue)(6) * 2c) =>`

`15c + 12d + 6d - 12c`

Next, group like terms:

`15c - 12c + 12d + 6d`

Now, combine like terms:

`(15 - 12)c + (12 + 6)d`

`3c + 18d`