9p+4(1-p)=4p+9(1-p)

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Solution for 9p+4(1-p)=4p+9(1-p) equation: 


Simplifying
9p + 4(1 + -1p) = 4p + 9(1 + -1p)
9p + (1 * 4 + -1p * 4) = 4p + 9(1 + -1p)
9p + (4 + -4p) = 4p + 9(1 + -1p)

Reorder the terms:
4 + 9p + -4p = 4p + 9(1 + -1p)

Combine like terms: 9p + -4p = 5p
4 + 5p = 4p + 9(1 + -1p)
4 + 5p = 4p + (1 * 9 + -1p * 9)
4 + 5p = 4p + (9 + -9p)

Reorder the terms:
4 + 5p = 9 + 4p + -9p

Combine like terms: 4p + -9p = -5p
4 + 5p = 9 + -5p

Solving
4 + 5p = 9 + -5p

Solving for variable 'p'.

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

Add '5p' to each side of the equation.
4 + 5p + 5p = 9 + -5p + 5p

Combine like terms: 5p + 5p = 10p
4 + 10p = 9 + -5p + 5p

Combine like terms: -5p + 5p = 0
4 + 10p = 9 + 0
4 + 10p = 9

Add '-4' to each side of the equation.
4 + -4 + 10p = 9 + -4

Combine like terms: 4 + -4 = 0
0 + 10p = 9 + -4
10p = 9 + -4

Combine like terms: 9 + -4 = 5
10p = 5

Divide each side by '10'.
p = 0.5

Simplifying
p = 0.5

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