6=1+3p+2

Solution for 6=1+3p+2 equation:

Simplifying
6 = 1 + 3p + 2

Reorder the terms:
6 = 1 + 2 + 3p

Combine like terms: 1 + 2 = 3
6 = 3 + 3p

Solving
6 = 3 + 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.
6 + -3p = 3 + 3p + -3p

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

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

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

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

Divide each side by '-3'.
p = 1

Simplifying
p = 1