3(3p-2)=2+p(2)

Solution for 3(3p-2)=2+p(2) equation:

Simplifying
3(3p + -2) = 2 + p(2)

Reorder the terms:
3(-2 + 3p) = 2 + p(2)
(-2 * 3 + 3p * 3) = 2 + p(2)
(-6 + 9p) = 2 + p(2)

Reorder the terms for easier multiplication:
-6 + 9p = 2 + 2p

Solving
-6 + 9p = 2 + 2p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-2p' to each side of the equation.
-6 + 9p + -2p = 2 + 2p + -2p

Combine like terms: 9p + -2p = 7p
-6 + 7p = 2 + 2p + -2p

Combine like terms: 2p + -2p = 0
-6 + 7p = 2 + 0
-6 + 7p = 2

Add '6' to each side of the equation.
-6 + 6 + 7p = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 7p = 2 + 6
7p = 2 + 6

Combine like terms: 2 + 6 = 8
7p = 8

Divide each side by '7'.
p = 1.142857143

Simplifying
p = 1.142857143