1=5+2(4p-1)

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

Simplifying
1 = 5 + 2(4p + -1)

Reorder the terms:
1 = 5 + 2(-1 + 4p)
1 = 5 + (-1 * 2 + 4p * 2)
1 = 5 + (-2 + 8p)

Combine like terms: 5 + -2 = 3
1 = 3 + 8p

Solving
1 = 3 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
1 + -8p = 3 + 8p + -8p

Combine like terms: 8p + -8p = 0
1 + -8p = 3 + 0
1 + -8p = 3

Add '-1' to each side of the equation.
1 + -1 + -8p = 3 + -1

Combine like terms: 1 + -1 = 0
0 + -8p = 3 + -1
-8p = 3 + -1

Combine like terms: 3 + -1 = 2
-8p = 2

Divide each side by '-8'.
p = -0.25

Simplifying
p = -0.25