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

Solution for 2p-3(4p-(8p+1))=0 equation:

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

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

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

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

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

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

Solving
3 + 14p = 0

Solving for variable 'p'.

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

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

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

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

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

Simplifying
p = -0.2142857143