6=-3(1+p)+2(3+2p)

Solution for 6=-3(1+p)+2(3+2p) equation:

Simplifying
6 = -3(1 + p) + 2(3 + 2p)
6 = (1 * -3 + p * -3) + 2(3 + 2p)
6 = (-3 + -3p) + 2(3 + 2p)
6 = -3 + -3p + (3 * 2 + 2p * 2)
6 = -3 + -3p + (6 + 4p)

Reorder the terms:
6 = -3 + 6 + -3p + 4p

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

Combine like terms: -3p + 4p = 1p
6 = 3 + 1p

Solving
6 = 3 + 1p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
6 + -1p = 3 + 1p + -1p

Combine like terms: 1p + -1p = 0
6 + -1p = 3 + 0
6 + -1p = 3

Add '-6' to each side of the equation.
6 + -6 + -1p = 3 + -6

Combine like terms: 6 + -6 = 0
0 + -1p = 3 + -6
-1p = 3 + -6

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

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

Simplifying
p = 3