3p+6(1-p)=9p+2(1-p)

Solution for 3p+6(1-p)=9p+2(1-p) equation:

Simplifying
3p + 6(1 + -1p) = 9p + 2(1 + -1p)
3p + (1 * 6 + -1p * 6) = 9p + 2(1 + -1p)
3p + (6 + -6p) = 9p + 2(1 + -1p)

Reorder the terms:
6 + 3p + -6p = 9p + 2(1 + -1p)

Combine like terms: 3p + -6p = -3p
6 + -3p = 9p + 2(1 + -1p)
6 + -3p = 9p + (1 * 2 + -1p * 2)
6 + -3p = 9p + (2 + -2p)

Reorder the terms:
6 + -3p = 2 + 9p + -2p

Combine like terms: 9p + -2p = 7p
6 + -3p = 2 + 7p

Solving
6 + -3p = 2 + 7p

Solving for variable 'p'.

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

Add '-7p' to each side of the equation.
6 + -3p + -7p = 2 + 7p + -7p

Combine like terms: -3p + -7p = -10p
6 + -10p = 2 + 7p + -7p

Combine like terms: 7p + -7p = 0
6 + -10p = 2 + 0
6 + -10p = 2

Add '-6' to each side of the equation.
6 + -6 + -10p = 2 + -6

Combine like terms: 6 + -6 = 0
0 + -10p = 2 + -6
-10p = 2 + -6

Combine like terms: 2 + -6 = -4
-10p = -4

Divide each side by '-10'.
p = 0.4

Simplifying
p = 0.4