3p+4(1-p)=5p+1(1-p)

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Solution for 3p+4(1-p)=5p+1(1-p) equation: 


Simplifying
3p + 4(1 + -1p) = 5p + 1(1 + -1p)
3p + (1 * 4 + -1p * 4) = 5p + 1(1 + -1p)
3p + (4 + -4p) = 5p + 1(1 + -1p)

Reorder the terms:
4 + 3p + -4p = 5p + 1(1 + -1p)

Combine like terms: 3p + -4p = -1p
4 + -1p = 5p + 1(1 + -1p)
4 + -1p = 5p + (1 * 1 + -1p * 1)
4 + -1p = 5p + (1 + -1p)

Reorder the terms:
4 + -1p = 1 + 5p + -1p

Combine like terms: 5p + -1p = 4p
4 + -1p = 1 + 4p

Solving
4 + -1p = 1 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
4 + -1p + -4p = 1 + 4p + -4p

Combine like terms: -1p + -4p = -5p
4 + -5p = 1 + 4p + -4p

Combine like terms: 4p + -4p = 0
4 + -5p = 1 + 0
4 + -5p = 1

Add '-4' to each side of the equation.
4 + -4 + -5p = 1 + -4

Combine like terms: 4 + -4 = 0
0 + -5p = 1 + -4
-5p = 1 + -4

Combine like terms: 1 + -4 = -3
-5p = -3

Divide each side by '-5'.
p = 0.6

Simplifying
p = 0.6

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