=2p-3[4p-(8p+1)]

Solution for =2p-3[4p-(8p+1)] equation:

Simplifying
0 = 2p + -3[4p + -1(8p + 1)]

Reorder the terms:
0 = 2p + -3[4p + -1(1 + 8p)]
0 = 2p + -3[4p + (1 * -1 + 8p * -1)]
0 = 2p + -3[4p + (-1 + -8p)]

Reorder the terms:
0 = 2p + -3[-1 + 4p + -8p]

Combine like terms: 4p + -8p = -4p
0 = 2p + -3[-1 + -4p]
0 = 2p + [-1 * -3 + -4p * -3]
0 = 2p + [3 + 12p]

Reorder the terms:
0 = 3 + 2p + 12p

Combine like terms: 2p + 12p = 14p
0 = 3 + 14p

Solving
0 = 3 + 14p

Solving for variable 'p'.

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

Add '-14p' to each side of the equation.
0 + -14p = 3 + 14p + -14p
Remove the zero:
-14p = 3 + 14p + -14p

Combine like terms: 14p + -14p = 0
-14p = 3 + 0
-14p = 3

Divide each side by '-14'.
p = -0.2142857143

Simplifying
p = -0.2142857143