6p+-2(1-p)=1+3(1-p)

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Solution for 6p+-2(1-p)=1+3(1-p) equation:


Simplifying
6p + -2(1 + -1p) = 1 + 3(1 + -1p)
6p + (1 * -2 + -1p * -2) = 1 + 3(1 + -1p)
6p + (-2 + 2p) = 1 + 3(1 + -1p)

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

Combine like terms: 6p + 2p = 8p
-2 + 8p = 1 + 3(1 + -1p)
-2 + 8p = 1 + (1 * 3 + -1p * 3)
-2 + 8p = 1 + (3 + -3p)

Combine like terms: 1 + 3 = 4
-2 + 8p = 4 + -3p

Solving
-2 + 8p = 4 + -3p

Solving for variable 'p'.

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

Add '3p' to each side of the equation.
-2 + 8p + 3p = 4 + -3p + 3p

Combine like terms: 8p + 3p = 11p
-2 + 11p = 4 + -3p + 3p

Combine like terms: -3p + 3p = 0
-2 + 11p = 4 + 0
-2 + 11p = 4

Add '2' to each side of the equation.
-2 + 2 + 11p = 4 + 2

Combine like terms: -2 + 2 = 0
0 + 11p = 4 + 2
11p = 4 + 2

Combine like terms: 4 + 2 = 6
11p = 6

Divide each side by '11'.
p = 0.5454545455

Simplifying
p = 0.5454545455

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