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

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

Simplifying
-3(1 + -3p) + -3p = -3(p + 1)
(1 * -3 + -3p * -3) + -3p = -3(p + 1)
(-3 + 9p) + -3p = -3(p + 1)

Combine like terms: 9p + -3p = 6p
-3 + 6p = -3(p + 1)

Reorder the terms:
-3 + 6p = -3(1 + p)
-3 + 6p = (1 * -3 + p * -3)
-3 + 6p = (-3 + -3p)

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

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

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

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

Combine like terms: 6p + 3p = 9p
9p = -3p + 3p

Combine like terms: -3p + 3p = 0
9p = 0

Divide each side by '9'.
p = 0

Simplifying
p = 0