7-(1-4p)=7p-3(6p-7)

Solution for 7-(1-4p)=7p-3(6p-7) equation:

Simplifying
7 + -1(1 + -4p) = 7p + -3(6p + -7)
7 + (1 * -1 + -4p * -1) = 7p + -3(6p + -7)
7 + (-1 + 4p) = 7p + -3(6p + -7)

Combine like terms: 7 + -1 = 6
6 + 4p = 7p + -3(6p + -7)

Reorder the terms:
6 + 4p = 7p + -3(-7 + 6p)
6 + 4p = 7p + (-7 * -3 + 6p * -3)
6 + 4p = 7p + (21 + -18p)

Reorder the terms:
6 + 4p = 21 + 7p + -18p

Combine like terms: 7p + -18p = -11p
6 + 4p = 21 + -11p

Solving
6 + 4p = 21 + -11p

Solving for variable 'p'.

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

Add '11p' to each side of the equation.
6 + 4p + 11p = 21 + -11p + 11p

Combine like terms: 4p + 11p = 15p
6 + 15p = 21 + -11p + 11p

Combine like terms: -11p + 11p = 0
6 + 15p = 21 + 0
6 + 15p = 21

Add '-6' to each side of the equation.
6 + -6 + 15p = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 15p = 21 + -6
15p = 21 + -6

Combine like terms: 21 + -6 = 15
15p = 15

Divide each side by '15'.
p = 1

Simplifying
p = 1