6p+1(1-p)=

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

Simplifying
6p + 1(1 + -1p) = 0
6p + (1 * 1 + -1p * 1) = 0
6p + (1 + -1p) = 0

Reorder the terms:
1 + 6p + -1p = 0

Combine like terms: 6p + -1p = 5p
1 + 5p = 0

Solving
1 + 5p = 0

Solving for variable 'p'.

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

Add '-1' to each side of the equation.
1 + -1 + 5p = 0 + -1

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

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

Divide each side by '5'.
p = -0.2

Simplifying
p = -0.2