1p+14(1-p)=4p+6(1-p)

Solution for 1p+14(1-p)=4p+6(1-p) equation:

Simplifying
1p + 14(1 + -1p) = 4p + 6(1 + -1p)
1p + (1 * 14 + -1p * 14) = 4p + 6(1 + -1p)
1p + (14 + -14p) = 4p + 6(1 + -1p)

Reorder the terms:
14 + 1p + -14p = 4p + 6(1 + -1p)

Combine like terms: 1p + -14p = -13p
14 + -13p = 4p + 6(1 + -1p)
14 + -13p = 4p + (1 * 6 + -1p * 6)
14 + -13p = 4p + (6 + -6p)

Reorder the terms:
14 + -13p = 6 + 4p + -6p

Combine like terms: 4p + -6p = -2p
14 + -13p = 6 + -2p

Solving
14 + -13p = 6 + -2p

Solving for variable 'p'.

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

Add '2p' to each side of the equation.
14 + -13p + 2p = 6 + -2p + 2p

Combine like terms: -13p + 2p = -11p
14 + -11p = 6 + -2p + 2p

Combine like terms: -2p + 2p = 0
14 + -11p = 6 + 0
14 + -11p = 6

Add '-14' to each side of the equation.
14 + -14 + -11p = 6 + -14

Combine like terms: 14 + -14 = 0
0 + -11p = 6 + -14
-11p = 6 + -14

Combine like terms: 6 + -14 = -8
-11p = -8

Divide each side by '-11'.
p = 0.7272727273

Simplifying
p = 0.7272727273