Multiply 4 by each term inside the parentheses separately: first by $2m$, then by $-3$.

Once you distribute, you will have two terms with $m$. Add those coefficients together and keep the constant (number without $m$) as it is.

In Desmos, type 4(2m - 3) + m and use a different letter like x instead of m if needed (e.g., 4(2x - 3) + x). Then click on the expression to see it in the table or note the simplified form if Desmos shows it.

Type each answer choice as a separate expression, for example 9x - 12, 8x - 3, etc. Use a table or pick a few values of $x$ (like $x=1$, $x=2$) and compare the outputs with the original expression. The correct choice will always give exactly the same output as the original expression for every tested value.

The expression is $4(2m - 3) + m$. It has a multiplication outside the parentheses and then an addition of $m$.

To simplify, you should first handle the parentheses using the distributive property, then combine like terms.

Apply the distributive property: multiply 4 by each term inside the parentheses.

• Multiply $4$ by $2m$ to get $8m$.
• Multiply $4$ by $-3$ to get $-12$.

So $4(2m - 3)$ becomes $8m - 12$. Now the whole expression is:

Now combine the like terms involving $m$.

• The $m$-terms are $8m$ and $m$. Adding them gives $8m + m = 9m$.
• The constant term is $-12$.

So the simplified expression is:

Therefore, the expression equivalent to $4(2m - 3) + m$ is $9m - 12$.