12=3(p+1)

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

Simplifying
12 = 3(p + 1)

Reorder the terms:
12 = 3(1 + p)
12 = (1 * 3 + p * 3)
12 = (3 + 3p)

Solving
12 = 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.
12 + -3p = 3 + 3p + -3p

Combine like terms: 3p + -3p = 0
12 + -3p = 3 + 0
12 + -3p = 3

Add '-12' to each side of the equation.
12 + -12 + -3p = 3 + -12

Combine like terms: 12 + -12 = 0
0 + -3p = 3 + -12
-3p = 3 + -12

Combine like terms: 3 + -12 = -9
-3p = -9

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

Simplifying
p = 3