2p+8-5p+2+p=6(p+1)

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Solution for 2p+8-5p+2+p=6(p+1) equation:


Simplifying
2p + 8 + -5p + 2 + p = 6(p + 1)

Reorder the terms:
8 + 2 + 2p + -5p + p = 6(p + 1)

Combine like terms: 8 + 2 = 10
10 + 2p + -5p + p = 6(p + 1)

Combine like terms: 2p + -5p = -3p
10 + -3p + p = 6(p + 1)

Combine like terms: -3p + p = -2p
10 + -2p = 6(p + 1)

Reorder the terms:
10 + -2p = 6(1 + p)
10 + -2p = (1 * 6 + p * 6)
10 + -2p = (6 + 6p)

Solving
10 + -2p = 6 + 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.
10 + -2p + -6p = 6 + 6p + -6p

Combine like terms: -2p + -6p = -8p
10 + -8p = 6 + 6p + -6p

Combine like terms: 6p + -6p = 0
10 + -8p = 6 + 0
10 + -8p = 6

Add '-10' to each side of the equation.
10 + -10 + -8p = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -8p = 6 + -10
-8p = 6 + -10

Combine like terms: 6 + -10 = -4
-8p = -4

Divide each side by '-8'.
p = 0.5

Simplifying
p = 0.5

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