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

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

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

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

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

Reorder the terms:
1 + 5p = 3 + -2p + -3p

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

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

Combine like terms: 5p + 5p = 10p
1 + 10p = 3 + -5p + 5p

Combine like terms: -5p + 5p = 0
1 + 10p = 3 + 0
1 + 10p = 3

Add '-1' to each side of the equation.
1 + -1 + 10p = 3 + -1

Combine like terms: 1 + -1 = 0
0 + 10p = 3 + -1
10p = 3 + -1

Combine like terms: 3 + -1 = 2
10p = 2

Divide each side by '10'.
p = 0.2

Simplifying
p = 0.2