4p=p-3(p+2)

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

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

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

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

Combine like terms: p + -3p = -2p
4p = -6 + -2p

Solving
4p = -6 + -2p

Solving for variable 'p'.

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

Add '2p' to each side of the equation.
4p + 2p = -6 + -2p + 2p

Combine like terms: 4p + 2p = 6p
6p = -6 + -2p + 2p

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

Divide each side by '6'.
p = -1

Simplifying
p = -1