2(4+p)+2p=-3(p+2)

Solution for 2(4+p)+2p=-3(p+2) equation:

Simplifying
2(4 + p) + 2p = -3(p + 2)
(4 * 2 + p * 2) + 2p = -3(p + 2)
(8 + 2p) + 2p = -3(p + 2)

Combine like terms: 2p + 2p = 4p
8 + 4p = -3(p + 2)

Reorder the terms:
8 + 4p = -3(2 + p)
8 + 4p = (2 * -3 + p * -3)
8 + 4p = (-6 + -3p)

Solving
8 + 4p = -6 + -3p

Solving for variable 'p'.

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

Add '3p' to each side of the equation.
8 + 4p + 3p = -6 + -3p + 3p

Combine like terms: 4p + 3p = 7p
8 + 7p = -6 + -3p + 3p

Combine like terms: -3p + 3p = 0
8 + 7p = -6 + 0
8 + 7p = -6

Add '-8' to each side of the equation.
8 + -8 + 7p = -6 + -8

Combine like terms: 8 + -8 = 0
0 + 7p = -6 + -8
7p = -6 + -8

Combine like terms: -6 + -8 = -14
7p = -14

Divide each side by '7'.
p = -2

Simplifying
p = -2