-2p+4(1-p)=8p-2(1-p)

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Solution for -2p+4(1-p)=8p-2(1-p) equation:


Simplifying
-2p + 4(1 + -1p) = 8p + -2(1 + -1p)
-2p + (1 * 4 + -1p * 4) = 8p + -2(1 + -1p)
-2p + (4 + -4p) = 8p + -2(1 + -1p)

Reorder the terms:
4 + -2p + -4p = 8p + -2(1 + -1p)

Combine like terms: -2p + -4p = -6p
4 + -6p = 8p + -2(1 + -1p)
4 + -6p = 8p + (1 * -2 + -1p * -2)
4 + -6p = 8p + (-2 + 2p)

Reorder the terms:
4 + -6p = -2 + 8p + 2p

Combine like terms: 8p + 2p = 10p
4 + -6p = -2 + 10p

Solving
4 + -6p = -2 + 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
4 + -6p + -10p = -2 + 10p + -10p

Combine like terms: -6p + -10p = -16p
4 + -16p = -2 + 10p + -10p

Combine like terms: 10p + -10p = 0
4 + -16p = -2 + 0
4 + -16p = -2

Add '-4' to each side of the equation.
4 + -4 + -16p = -2 + -4

Combine like terms: 4 + -4 = 0
0 + -16p = -2 + -4
-16p = -2 + -4

Combine like terms: -2 + -4 = -6
-16p = -6

Divide each side by '-16'.
p = 0.375

Simplifying
p = 0.375

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