25p+10(1-p)=5p+15(1-p)

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Solution for 25p+10(1-p)=5p+15(1-p) equation:


Simplifying
25p + 10(1 + -1p) = 5p + 15(1 + -1p)
25p + (1 * 10 + -1p * 10) = 5p + 15(1 + -1p)
25p + (10 + -10p) = 5p + 15(1 + -1p)

Reorder the terms:
10 + 25p + -10p = 5p + 15(1 + -1p)

Combine like terms: 25p + -10p = 15p
10 + 15p = 5p + 15(1 + -1p)
10 + 15p = 5p + (1 * 15 + -1p * 15)
10 + 15p = 5p + (15 + -15p)

Reorder the terms:
10 + 15p = 15 + 5p + -15p

Combine like terms: 5p + -15p = -10p
10 + 15p = 15 + -10p

Solving
10 + 15p = 15 + -10p

Solving for variable 'p'.

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

Add '10p' to each side of the equation.
10 + 15p + 10p = 15 + -10p + 10p

Combine like terms: 15p + 10p = 25p
10 + 25p = 15 + -10p + 10p

Combine like terms: -10p + 10p = 0
10 + 25p = 15 + 0
10 + 25p = 15

Add '-10' to each side of the equation.
10 + -10 + 25p = 15 + -10

Combine like terms: 10 + -10 = 0
0 + 25p = 15 + -10
25p = 15 + -10

Combine like terms: 15 + -10 = 5
25p = 5

Divide each side by '25'.
p = 0.2

Simplifying
p = 0.2

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