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

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


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

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

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

Remove parenthesis around (1 + -1p)
2 + 3p = 6p + 1 + -1p

Reorder the terms:
2 + 3p = 1 + 6p + -1p

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

Solving
2 + 3p = 1 + 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 + 3p + -5p = 1 + 5p + -5p

Combine like terms: 3p + -5p = -2p
2 + -2p = 1 + 5p + -5p

Combine like terms: 5p + -5p = 0
2 + -2p = 1 + 0
2 + -2p = 1

Add '-2' to each side of the equation.
2 + -2 + -2p = 1 + -2

Combine like terms: 2 + -2 = 0
0 + -2p = 1 + -2
-2p = 1 + -2

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

Divide each side by '-2'.
p = 0.5

Simplifying
p = 0.5

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