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

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

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

Reorder the terms:
-1(-6 + p) = -2(1 + -3p) + -3p
(-6 * -1 + p * -1) = -2(1 + -3p) + -3p
(6 + -1p) = -2(1 + -3p) + -3p
6 + -1p = (1 * -2 + -3p * -2) + -3p
6 + -1p = (-2 + 6p) + -3p

Combine like terms: 6p + -3p = 3p
6 + -1p = -2 + 3p

Solving
6 + -1p = -2 + 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.
6 + -1p + -3p = -2 + 3p + -3p

Combine like terms: -1p + -3p = -4p
6 + -4p = -2 + 3p + -3p

Combine like terms: 3p + -3p = 0
6 + -4p = -2 + 0
6 + -4p = -2

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

Combine like terms: 6 + -6 = 0
0 + -4p = -2 + -6
-4p = -2 + -6

Combine like terms: -2 + -6 = -8
-4p = -8

Divide each side by '-4'.
p = 2

Simplifying
p = 2