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

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


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

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

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

Multiply -1 * 2
4 + -2p = 4 + -2(1 + -1p)
4 + -2p = 4 + (1 * -2 + -1p * -2)
4 + -2p = 4 + (-2 + 2p)

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

Solving
4 + -2p = 2 + 2p

Solving for variable 'p'.

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

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

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

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

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

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

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

Divide each side by '-4'.
p = 0.5

Simplifying
p = 0.5

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