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

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

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

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

Reorder the terms:
2 + 7p = -9(-2 + 2p) + 6(-7 + 2p)
2 + 7p = (-2 * -9 + 2p * -9) + 6(-7 + 2p)
2 + 7p = (18 + -18p) + 6(-7 + 2p)
2 + 7p = 18 + -18p + (-7 * 6 + 2p * 6)
2 + 7p = 18 + -18p + (-42 + 12p)

Reorder the terms:
2 + 7p = 18 + -42 + -18p + 12p

Combine like terms: 18 + -42 = -24
2 + 7p = -24 + -18p + 12p

Combine like terms: -18p + 12p = -6p
2 + 7p = -24 + -6p

Solving
2 + 7p = -24 + -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.
2 + 7p + 6p = -24 + -6p + 6p

Combine like terms: 7p + 6p = 13p
2 + 13p = -24 + -6p + 6p

Combine like terms: -6p + 6p = 0
2 + 13p = -24 + 0
2 + 13p = -24

Add '-2' to each side of the equation.
2 + -2 + 13p = -24 + -2

Combine like terms: 2 + -2 = 0
0 + 13p = -24 + -2
13p = -24 + -2

Combine like terms: -24 + -2 = -26
13p = -26

Divide each side by '13'.
p = -2

Simplifying
p = -2