7p-5p=-3(10p+8)-12(1-3p)

Solution for 7p-5p=-3(10p+8)-12(1-3p) equation:

Simplifying
7p + -5p = -3(10p + 8) + -12(1 + -3p)

Combine like terms: 7p + -5p = 2p
2p = -3(10p + 8) + -12(1 + -3p)

Reorder the terms:
2p = -3(8 + 10p) + -12(1 + -3p)
2p = (8 * -3 + 10p * -3) + -12(1 + -3p)
2p = (-24 + -30p) + -12(1 + -3p)
2p = -24 + -30p + (1 * -12 + -3p * -12)
2p = -24 + -30p + (-12 + 36p)

Reorder the terms:
2p = -24 + -12 + -30p + 36p

Combine like terms: -24 + -12 = -36
2p = -36 + -30p + 36p

Combine like terms: -30p + 36p = 6p
2p = -36 + 6p

Solving
2p = -36 + 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.
2p + -6p = -36 + 6p + -6p

Combine like terms: 2p + -6p = -4p
-4p = -36 + 6p + -6p

Combine like terms: 6p + -6p = 0
-4p = -36 + 0
-4p = -36

Divide each side by '-4'.
p = 9

Simplifying
p = 9