2[p-(2p-19)-16]=2(p-3)

Solution for 2[p-(2p-19)-16]=2(p-3) equation:

Simplifying
2[p + -1(2p + -19) + -16] = 2(p + -3)

Reorder the terms:
2[p + -1(-19 + 2p) + -16] = 2(p + -3)
2[p + (-19 * -1 + 2p * -1) + -16] = 2(p + -3)
2[p + (19 + -2p) + -16] = 2(p + -3)

Reorder the terms:
2[19 + -16 + p + -2p] = 2(p + -3)

Combine like terms: 19 + -16 = 3
2[3 + p + -2p] = 2(p + -3)

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

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

Solving
6 + -2p = -6 + 2p

Solving for variable 'p'.

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

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

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

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

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

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

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

Divide each side by '-4'.
p = 3

Simplifying
p = 3