3(2r+p)-3(r-2p)=

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

Simplifying
3(2r + p) + -3(r + -2p) = 0

Reorder the terms:
3(p + 2r) + -3(r + -2p) = 0
(p * 3 + 2r * 3) + -3(r + -2p) = 0
(3p + 6r) + -3(r + -2p) = 0

Reorder the terms:
3p + 6r + -3(-2p + r) = 0
3p + 6r + (-2p * -3 + r * -3) = 0
3p + 6r + (6p + -3r) = 0

Reorder the terms:
3p + 6p + 6r + -3r = 0

Combine like terms: 3p + 6p = 9p
9p + 6r + -3r = 0

Combine like terms: 6r + -3r = 3r
9p + 3r = 0

Solving
9p + 3r = 0

Solving for variable 'p'.

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

Add '-3r' to each side of the equation.
9p + 3r + -3r = 0 + -3r

Combine like terms: 3r + -3r = 0
9p + 0 = 0 + -3r
9p = 0 + -3r
Remove the zero:
9p = -3r

Divide each side by '9'.
p = -0.3333333333r

Simplifying
p = -0.3333333333r