8p+2+12p=-11p-8(-2p-19)

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Solution for 8p+2+12p=-11p-8(-2p-19) equation:


Simplifying
8p + 2 + 12p = -11p + -8(-2p + -19)

Reorder the terms:
2 + 8p + 12p = -11p + -8(-2p + -19)

Combine like terms: 8p + 12p = 20p
2 + 20p = -11p + -8(-2p + -19)

Reorder the terms:
2 + 20p = -11p + -8(-19 + -2p)
2 + 20p = -11p + (-19 * -8 + -2p * -8)
2 + 20p = -11p + (152 + 16p)

Reorder the terms:
2 + 20p = 152 + -11p + 16p

Combine like terms: -11p + 16p = 5p
2 + 20p = 152 + 5p

Solving
2 + 20p = 152 + 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.
2 + 20p + -5p = 152 + 5p + -5p

Combine like terms: 20p + -5p = 15p
2 + 15p = 152 + 5p + -5p

Combine like terms: 5p + -5p = 0
2 + 15p = 152 + 0
2 + 15p = 152

Add '-2' to each side of the equation.
2 + -2 + 15p = 152 + -2

Combine like terms: 2 + -2 = 0
0 + 15p = 152 + -2
15p = 152 + -2

Combine like terms: 152 + -2 = 150
15p = 150

Divide each side by '15'.
p = 10

Simplifying
p = 10

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