9p+2(p-8)=3(1+2p)

Solution for 9p+2(p-8)=3(1+2p) equation:

Simplifying
9p + 2(p + -8) = 3(1 + 2p)

Reorder the terms:
9p + 2(-8 + p) = 3(1 + 2p)
9p + (-8 * 2 + p * 2) = 3(1 + 2p)
9p + (-16 + 2p) = 3(1 + 2p)

Reorder the terms:
-16 + 9p + 2p = 3(1 + 2p)

Combine like terms: 9p + 2p = 11p
-16 + 11p = 3(1 + 2p)
-16 + 11p = (1 * 3 + 2p * 3)
-16 + 11p = (3 + 6p)

Solving
-16 + 11p = 3 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-16 + 11p + -6p = 3 + 6p + -6p

Combine like terms: 11p + -6p = 5p
-16 + 5p = 3 + 6p + -6p

Combine like terms: 6p + -6p = 0
-16 + 5p = 3 + 0
-16 + 5p = 3

Add '16' to each side of the equation.
-16 + 16 + 5p = 3 + 16

Combine like terms: -16 + 16 = 0
0 + 5p = 3 + 16
5p = 3 + 16

Combine like terms: 3 + 16 = 19
5p = 19

Divide each side by '5'.
p = 3.8

Simplifying
p = 3.8