Question

34 minus left parenthesis 3 c plus 4 right parenthesisequals2 left parenthesis c plus 3 right parenthesis plus c

Answer 1

To solve the equation \( 34 - (3c + 4) = 2(c + 3) + c \), we'll simplify each side step by step.

Start with the left side:

1. Distribute the negative sign:
\[
34 - 3c - 4
\]
Simplifying this gives:
\[
30 - 3c
\]

Now, move to the right side:

1. Distribute the \(2\):
\[
2(c + 3) = 2c + 6
\]
2. Now combine with \(c\):
\[
2c + 6 + c = 3c + 6
\]

Now we can rewrite the equation as:
\[
30 - 3c = 3c + 6
\]

Next, let's isolate \(c\). First, add \(3c\) to both sides:
\[
30 = 6c + 6
\]

Next, subtract 6 from both sides:
\[
24 = 6c
\]

Finally, divide by 6:
\[
c = 4
\]

So the solution is \( c = 4 \).