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

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