(P+1)+(p+2)+(p+3)=-12

Solution for (P+1)+(p+2)+(p+3)=-12 equation:

Simplifying
(P + 1) + (p + 2) + (p + 3) = -12

Reorder the terms:
(1 + P) + (p + 2) + (p + 3) = -12

Remove parenthesis around (1 + P)
1 + P + (p + 2) + (p + 3) = -12

Reorder the terms:
1 + P + (2 + p) + (p + 3) = -12

Remove parenthesis around (2 + p)
1 + P + 2 + p + (p + 3) = -12

Reorder the terms:
1 + P + 2 + p + (3 + p) = -12

Remove parenthesis around (3 + p)
1 + P + 2 + p + 3 + p = -12

Reorder the terms:
1 + 2 + 3 + P + p + p = -12

Combine like terms: 1 + 2 = 3
3 + 3 + P + p + p = -12

Combine like terms: 3 + 3 = 6
6 + P + p + p = -12

Combine like terms: p + p = 2p
6 + P + 2p = -12

Solving
6 + P + 2p = -12

Solving for variable 'P'.

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

Add '-6' to each side of the equation.
6 + P + -6 + 2p = -12 + -6

Reorder the terms:
6 + -6 + P + 2p = -12 + -6

Combine like terms: 6 + -6 = 0
0 + P + 2p = -12 + -6
P + 2p = -12 + -6

Combine like terms: -12 + -6 = -18
P + 2p = -18

Add '-2p' to each side of the equation.
P + 2p + -2p = -18 + -2p

Combine like terms: 2p + -2p = 0
P + 0 = -18 + -2p
P = -18 + -2p

Simplifying
P = -18 + -2p