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

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

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

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

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

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

Add '-1' to each side of the equation.
1 + -1 + 5p = 1 + -1 + -3p

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

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

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

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

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

Divide each side by '8'.
p = 0

Simplifying
p = 0