3p-7(2p-13)=3(-2p+9)

Solution for 3p-7(2p-13)=3(-2p+9) equation:

Simplifying
3p + -7(2p + -13) = 3(-2p + 9)

Reorder the terms:
3p + -7(-13 + 2p) = 3(-2p + 9)
3p + (-13 * -7 + 2p * -7) = 3(-2p + 9)
3p + (91 + -14p) = 3(-2p + 9)

Reorder the terms:
91 + 3p + -14p = 3(-2p + 9)

Combine like terms: 3p + -14p = -11p
91 + -11p = 3(-2p + 9)

Reorder the terms:
91 + -11p = 3(9 + -2p)
91 + -11p = (9 * 3 + -2p * 3)
91 + -11p = (27 + -6p)

Solving
91 + -11p = 27 + -6p

Solving for variable 'p'.

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

Add '6p' to each side of the equation.
91 + -11p + 6p = 27 + -6p + 6p

Combine like terms: -11p + 6p = -5p
91 + -5p = 27 + -6p + 6p

Combine like terms: -6p + 6p = 0
91 + -5p = 27 + 0
91 + -5p = 27

Add '-91' to each side of the equation.
91 + -91 + -5p = 27 + -91

Combine like terms: 91 + -91 = 0
0 + -5p = 27 + -91
-5p = 27 + -91

Combine like terms: 27 + -91 = -64
-5p = -64

Divide each side by '-5'.
p = 12.8

Simplifying
p = 12.8