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 \( c = 4 \).