30p+40(1-p)=50p+0(1-p)

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Solution for 30p+40(1-p)=50p+0(1-p) equation: 


Simplifying
30p + 40(1 + -1p) = 50p + 0(1 + -1p)
30p + (1 * 40 + -1p * 40) = 50p + 0(1 + -1p)
30p + (40 + -40p) = 50p + 0(1 + -1p)

Reorder the terms:
40 + 30p + -40p = 50p + 0(1 + -1p)

Combine like terms: 30p + -40p = -10p
40 + -10p = 50p + 0(1 + -1p)

Anything times zero is zero.
40 + -10p = 50p + 0(1 + -1p)

Reorder the terms:
40 + -10p = 0 + 50p
Remove the zero:
40 + -10p = 50p

Solving
40 + -10p = 50p

Solving for variable 'p'.

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

Add '-50p' to each side of the equation.
40 + -10p + -50p = 50p + -50p

Combine like terms: -10p + -50p = -60p
40 + -60p = 50p + -50p

Combine like terms: 50p + -50p = 0
40 + -60p = 0

Add '-40' to each side of the equation.
40 + -40 + -60p = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -60p = 0 + -40
-60p = 0 + -40

Combine like terms: 0 + -40 = -40
-60p = -40

Divide each side by '-60'.
p = 0.6666666667

Simplifying
p = 0.6666666667

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