-2p+2+8p=-6(3p-2)-5(p+2)

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Solution for -2p+2+8p=-6(3p-2)-5(p+2) equation:


Simplifying
-2p + 2 + 8p = -6(3p + -2) + -5(p + 2)

Reorder the terms:
2 + -2p + 8p = -6(3p + -2) + -5(p + 2)

Combine like terms: -2p + 8p = 6p
2 + 6p = -6(3p + -2) + -5(p + 2)

Reorder the terms:
2 + 6p = -6(-2 + 3p) + -5(p + 2)
2 + 6p = (-2 * -6 + 3p * -6) + -5(p + 2)
2 + 6p = (12 + -18p) + -5(p + 2)

Reorder the terms:
2 + 6p = 12 + -18p + -5(2 + p)
2 + 6p = 12 + -18p + (2 * -5 + p * -5)
2 + 6p = 12 + -18p + (-10 + -5p)

Reorder the terms:
2 + 6p = 12 + -10 + -18p + -5p

Combine like terms: 12 + -10 = 2
2 + 6p = 2 + -18p + -5p

Combine like terms: -18p + -5p = -23p
2 + 6p = 2 + -23p

Add '-2' to each side of the equation.
2 + -2 + 6p = 2 + -2 + -23p

Combine like terms: 2 + -2 = 0
0 + 6p = 2 + -2 + -23p
6p = 2 + -2 + -23p

Combine like terms: 2 + -2 = 0
6p = 0 + -23p
6p = -23p

Solving
6p = -23p

Solving for variable 'p'.

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

Add '23p' to each side of the equation.
6p + 23p = -23p + 23p

Combine like terms: 6p + 23p = 29p
29p = -23p + 23p

Combine like terms: -23p + 23p = 0
29p = 0

Divide each side by '29'.
p = 0

Simplifying
p = 0

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