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

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

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

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

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

Combine like terms: 1 + 3 = 4
1 + 5p = 4 + -3p

Solving
1 + 5p = 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.
1 + 5p + 3p = 4 + -3p + 3p

Combine like terms: 5p + 3p = 8p
1 + 8p = 4 + -3p + 3p

Combine like terms: -3p + 3p = 0
1 + 8p = 4 + 0
1 + 8p = 4

Add '-1' to each side of the equation.
1 + -1 + 8p = 4 + -1

Combine like terms: 1 + -1 = 0
0 + 8p = 4 + -1
8p = 4 + -1

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

Divide each side by '8'.
p = 0.375

Simplifying
p = 0.375