2[3-(p+6)]-18=4(3+p)

Solution for 2[3-(p+6)]-18=4(3+p) equation:

Simplifying
2[3 + -1(p + 6)] + -18 = 4(3 + p)

Reorder the terms:
2[3 + -1(6 + p)] + -18 = 4(3 + p)
2[3 + (6 * -1 + p * -1)] + -18 = 4(3 + p)
2[3 + (-6 + -1p)] + -18 = 4(3 + p)

Combine like terms: 3 + -6 = -3
2[-3 + -1p] + -18 = 4(3 + p)
[-3 * 2 + -1p * 2] + -18 = 4(3 + p)
[-6 + -2p] + -18 = 4(3 + p)

Reorder the terms:
-6 + -18 + -2p = 4(3 + p)

Combine like terms: -6 + -18 = -24
-24 + -2p = 4(3 + p)
-24 + -2p = (3 * 4 + p * 4)
-24 + -2p = (12 + 4p)

Solving
-24 + -2p = 12 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-24 + -2p + -4p = 12 + 4p + -4p

Combine like terms: -2p + -4p = -6p
-24 + -6p = 12 + 4p + -4p

Combine like terms: 4p + -4p = 0
-24 + -6p = 12 + 0
-24 + -6p = 12

Add '24' to each side of the equation.
-24 + 24 + -6p = 12 + 24

Combine like terms: -24 + 24 = 0
0 + -6p = 12 + 24
-6p = 12 + 24

Combine like terms: 12 + 24 = 36
-6p = 36

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

Simplifying
p = -6