Question

Next, you can use the distributive property to get rid of the parentheses on the left side of the equation. Distribute the 3 on the left to rewrite the equation without parentheses.
2
3
​
(7+3m)
=
3+3m

2 ·
2
3
​
(7+3m)
=
2 · (3+3m)

3(7+3m)
=
6 + 6m

=
6 + 6

Answer 1

Let's clarify and properly apply the distributive property to the expression you provided. It seems you have an equation involving the expression \(3(7+3m)\). Let's distribute the \(3\) on the left side:

1. Start with the left side of the equation:

\[
3(7 + 3m)
\]

2. Use the distributive property to distribute \(3\) to both terms inside the parentheses:

\[
3 \cdot 7 + 3 \cdot (3m)
\]

This results in:

\[
21 + 9m
\]

Now, assuming you have an equation that looks like this:

\[
3(7 + 3m) = 3 + 3m
\]

After applying the distributive property, we can rewrite the equation as:

\[
21 + 9m = 3 + 3m
\]

To isolate \(m\), you can rearrange this equation. First, subtract \(3m\) from both sides:

\[
21 + 9m - 3m = 3
\]

This simplifies to:

\[
21 + 6m = 3
\]

Next, subtract \(21\) from both sides:

\[
6m = 3 - 21
\]

This simplifies to:

\[
6m = -18
\]

Finally, divide both sides by \(6\) to solve for \(m\):

\[
m = -3
\]

If you have further details to add or if the equation needs revising, please provide that context!