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

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

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

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

Reorder the terms:
3 + 2p = 7(6 + -7p) + -9(-3 + -6p)
3 + 2p = (6 * 7 + -7p * 7) + -9(-3 + -6p)
3 + 2p = (42 + -49p) + -9(-3 + -6p)
3 + 2p = 42 + -49p + (-3 * -9 + -6p * -9)
3 + 2p = 42 + -49p + (27 + 54p)

Reorder the terms:
3 + 2p = 42 + 27 + -49p + 54p

Combine like terms: 42 + 27 = 69
3 + 2p = 69 + -49p + 54p

Combine like terms: -49p + 54p = 5p
3 + 2p = 69 + 5p

Solving
3 + 2p = 69 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
3 + 2p + -5p = 69 + 5p + -5p

Combine like terms: 2p + -5p = -3p
3 + -3p = 69 + 5p + -5p

Combine like terms: 5p + -5p = 0
3 + -3p = 69 + 0
3 + -3p = 69

Add '-3' to each side of the equation.
3 + -3 + -3p = 69 + -3

Combine like terms: 3 + -3 = 0
0 + -3p = 69 + -3
-3p = 69 + -3

Combine like terms: 69 + -3 = 66
-3p = 66

Divide each side by '-3'.
p = -22

Simplifying
p = -22