-2[(4p+1)-(3p-1)]=5

Solution for -2[(4p+1)-(3p-1)]=5 equation:

Simplifying
-2[(4p + 1) + -1(3p + -1)] = 5

Reorder the terms:
-2[(1 + 4p) + -1(3p + -1)] = 5

Remove parenthesis around (1 + 4p)
-2[1 + 4p + -1(3p + -1)] = 5

Reorder the terms:
-2[1 + 4p + -1(-1 + 3p)] = 5
-2[1 + 4p + (-1 * -1 + 3p * -1)] = 5
-2[1 + 4p + (1 + -3p)] = 5

Reorder the terms:
-2[1 + 1 + 4p + -3p] = 5

Combine like terms: 1 + 1 = 2
-2[2 + 4p + -3p] = 5

Combine like terms: 4p + -3p = 1p
-2[2 + 1p] = 5
[2 * -2 + 1p * -2] = 5
[-4 + -2p] = 5

Solving
-4 + -2p = 5

Solving for variable 'p'.

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

Add '4' to each side of the equation.
-4 + 4 + -2p = 5 + 4

Combine like terms: -4 + 4 = 0
0 + -2p = 5 + 4
-2p = 5 + 4

Combine like terms: 5 + 4 = 9
-2p = 9

Divide each side by '-2'.
p = -4.5

Simplifying
p = -4.5