-2p+3=9(7p-6)-7(3+9p)

Solution for -2p+3=9(7p-6)-7(3+9p) equation:

Simplifying
-2p + 3 = 9(7p + -6) + -7(3 + 9p)

Reorder the terms:
3 + -2p = 9(7p + -6) + -7(3 + 9p)

Reorder the terms:
3 + -2p = 9(-6 + 7p) + -7(3 + 9p)
3 + -2p = (-6 * 9 + 7p * 9) + -7(3 + 9p)
3 + -2p = (-54 + 63p) + -7(3 + 9p)
3 + -2p = -54 + 63p + (3 * -7 + 9p * -7)
3 + -2p = -54 + 63p + (-21 + -63p)

Reorder the terms:
3 + -2p = -54 + -21 + 63p + -63p

Combine like terms: -54 + -21 = -75
3 + -2p = -75 + 63p + -63p

Combine like terms: 63p + -63p = 0
3 + -2p = -75 + 0
3 + -2p = -75

Solving
3 + -2p = -75

Solving for variable 'p'.

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

Add '-3' to each side of the equation.
3 + -3 + -2p = -75 + -3

Combine like terms: 3 + -3 = 0
0 + -2p = -75 + -3
-2p = -75 + -3

Combine like terms: -75 + -3 = -78
-2p = -78

Divide each side by '-2'.
p = 39

Simplifying
p = 39