7[2(p-7)-(1-4p)]=

Solution for 7[2(p-7)-(1-4p)]= equation:

Simplifying
7[2(p + -7) + -1(1 + -4p)] = 0

Reorder the terms:
7[2(-7 + p) + -1(1 + -4p)] = 0
7[(-7 * 2 + p * 2) + -1(1 + -4p)] = 0
7[(-14 + 2p) + -1(1 + -4p)] = 0
7[-14 + 2p + (1 * -1 + -4p * -1)] = 0
7[-14 + 2p + (-1 + 4p)] = 0

Reorder the terms:
7[-14 + -1 + 2p + 4p] = 0

Combine like terms: -14 + -1 = -15
7[-15 + 2p + 4p] = 0

Combine like terms: 2p + 4p = 6p
7[-15 + 6p] = 0
[-15 * 7 + 6p * 7] = 0
[-105 + 42p] = 0

Solving
-105 + 42p = 0

Solving for variable 'p'.

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

Add '105' to each side of the equation.
-105 + 105 + 42p = 0 + 105

Combine like terms: -105 + 105 = 0
0 + 42p = 0 + 105
42p = 0 + 105

Combine like terms: 0 + 105 = 105
42p = 105

Divide each side by '42'.
p = 2.5

Simplifying
p = 2.5