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

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


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

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

Combine like terms: 4p + -4p = 0
4 + 0 = 2p + 6(1 + -1p)
4 = 2p + 6(1 + -1p)
4 = 2p + (1 * 6 + -1p * 6)
4 = 2p + (6 + -6p)

Reorder the terms:
4 = 6 + 2p + -6p

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

Solving
4 = 6 + -4p

Solving for variable 'p'.

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

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

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

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

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

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

Divide each side by '4'.
p = 0.5

Simplifying
p = 0.5

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