-4[p-(3-p)]=3(6p-2)

Solution for -4[p-(3-p)]=3(6p-2) equation:

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

Reorder the terms:
-4[-3 + p + 1p] = 3(6p + -2)

Combine like terms: p + 1p = 2p
-4[-3 + 2p] = 3(6p + -2)
[-3 * -4 + 2p * -4] = 3(6p + -2)
[12 + -8p] = 3(6p + -2)

Reorder the terms:
12 + -8p = 3(-2 + 6p)
12 + -8p = (-2 * 3 + 6p * 3)
12 + -8p = (-6 + 18p)

Solving
12 + -8p = -6 + 18p

Solving for variable 'p'.

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

Add '-18p' to each side of the equation.
12 + -8p + -18p = -6 + 18p + -18p

Combine like terms: -8p + -18p = -26p
12 + -26p = -6 + 18p + -18p

Combine like terms: 18p + -18p = 0
12 + -26p = -6 + 0
12 + -26p = -6

Add '-12' to each side of the equation.
12 + -12 + -26p = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -26p = -6 + -12
-26p = -6 + -12

Combine like terms: -6 + -12 = -18
-26p = -18

Divide each side by '-26'.
p = 0.6923076923

Simplifying
p = 0.6923076923