-2p+8=5p-(10p+2)

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Solution for -2p+8=5p-(10p+2) equation:


Simplifying
-2p + 8 = 5p + -1(10p + 2)

Reorder the terms:
8 + -2p = 5p + -1(10p + 2)

Reorder the terms:
8 + -2p = 5p + -1(2 + 10p)
8 + -2p = 5p + (2 * -1 + 10p * -1)
8 + -2p = 5p + (-2 + -10p)

Reorder the terms:
8 + -2p = -2 + 5p + -10p

Combine like terms: 5p + -10p = -5p
8 + -2p = -2 + -5p

Solving
8 + -2p = -2 + -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.
8 + -2p + 5p = -2 + -5p + 5p

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

Combine like terms: -5p + 5p = 0
8 + 3p = -2 + 0
8 + 3p = -2

Add '-8' to each side of the equation.
8 + -8 + 3p = -2 + -8

Combine like terms: 8 + -8 = 0
0 + 3p = -2 + -8
3p = -2 + -8

Combine like terms: -2 + -8 = -10
3p = -10

Divide each side by '3'.
p = -3.333333333

Simplifying
p = -3.333333333

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