Divide both sides by 7 to solve for the value of p.

Question

20 − 2p
=
6 + 5p
+
2p
+
2p

20
=
6 + 7p
−
6
−
6

14
=
7p
7
7

=

Answer 1

Let's solve for \( p \) step by step. You already set up the equation correctly.

Starting with the equation you provided:

\[ 20 - 2p = 6 + 5p + 2p + 2p \]

First, simplify the right side of the equation:

\[ 20 - 2p = 6 + (5p + 2p + 2p) \] \[ 20 - 2p = 6 + 9p \]

Now, isolate the \( p \) terms by moving \( 9p \) to the left side and \( 2p \) to the right side:

\[ 20 - 6 = 9p + 2p \] \[ 14 = 11p \]

Next, divide both sides by 11 to solve for \( p \):

\[ p = \frac{14}{11} \]

So, the value of \( p \) is \( \frac{14}{11} \) or approximately \( 1.27 \).