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

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


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

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

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

Reorder the terms:
2 + 2p = 10 + 1p + -10p

Combine like terms: 1p + -10p = -9p
2 + 2p = 10 + -9p

Solving
2 + 2p = 10 + -9p

Solving for variable 'p'.

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

Add '9p' to each side of the equation.
2 + 2p + 9p = 10 + -9p + 9p

Combine like terms: 2p + 9p = 11p
2 + 11p = 10 + -9p + 9p

Combine like terms: -9p + 9p = 0
2 + 11p = 10 + 0
2 + 11p = 10

Add '-2' to each side of the equation.
2 + -2 + 11p = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 11p = 10 + -2
11p = 10 + -2

Combine like terms: 10 + -2 = 8
11p = 8

Divide each side by '11'.
p = 0.7272727273

Simplifying
p = 0.7272727273

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