6p+4*(1-p)=10p+2*(1-p)

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Solution for 6p+4*(1-p)=10p+2*(1-p) equation: 


Simplifying
6p + 4(1 + -1p) = 10p + 2(1 + -1p)
6p + (1 * 4 + -1p * 4) = 10p + 2(1 + -1p)
6p + (4 + -4p) = 10p + 2(1 + -1p)

Reorder the terms:
4 + 6p + -4p = 10p + 2(1 + -1p)

Combine like terms: 6p + -4p = 2p
4 + 2p = 10p + 2(1 + -1p)
4 + 2p = 10p + (1 * 2 + -1p * 2)
4 + 2p = 10p + (2 + -2p)

Reorder the terms:
4 + 2p = 2 + 10p + -2p

Combine like terms: 10p + -2p = 8p
4 + 2p = 2 + 8p

Solving
4 + 2p = 2 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
4 + 2p + -8p = 2 + 8p + -8p

Combine like terms: 2p + -8p = -6p
4 + -6p = 2 + 8p + -8p

Combine like terms: 8p + -8p = 0
4 + -6p = 2 + 0
4 + -6p = 2

Add '-4' to each side of the equation.
4 + -4 + -6p = 2 + -4

Combine like terms: 4 + -4 = 0
0 + -6p = 2 + -4
-6p = 2 + -4

Combine like terms: 2 + -4 = -2
-6p = -2

Divide each side by '-6'.
p = 0.3333333333

Simplifying
p = 0.3333333333

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