Question

How do you simplify `4 + 6 (3m + 2)`?

Answer 1

4 + 18m + 12 = ??
Simplify it where possible.

Explanation:

Firstly, your main priority is to expand the bracket. And you can see the 6 in front of the bracket, so you must include it when you expand it - don't ignore!

Solve the 6(3m+2) first.

Not sure how to expand?
`6 xx 3m + 6 xx 2`
= 18m + 12

You've now expanded the bracket.
You can now bring in the 4 into the equation.
4 + 18m + 12 = ?

This algebraic expression is made up of like and unlike terms. If you look at the equation, 4 and 12 are like terms, whereas 18m is different (so it is unlike).

Add the like terms together first, then add the unlike terms.
4 + 18m + 12
= 16 + 18m is your simplified answer, since 4 + 12 = 16.