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

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


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

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

Combine like terms: p + 10p = 11p
-10 + 11p = -5p + (1 + -1p)

Remove parenthesis around (1 + -1p)
-10 + 11p = -5p + 1 + -1p

Reorder the terms:
-10 + 11p = 1 + -5p + -1p

Combine like terms: -5p + -1p = -6p
-10 + 11p = 1 + -6p

Solving
-10 + 11p = 1 + -6p

Solving for variable 'p'.

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

Add '6p' to each side of the equation.
-10 + 11p + 6p = 1 + -6p + 6p

Combine like terms: 11p + 6p = 17p
-10 + 17p = 1 + -6p + 6p

Combine like terms: -6p + 6p = 0
-10 + 17p = 1 + 0
-10 + 17p = 1

Add '10' to each side of the equation.
-10 + 10 + 17p = 1 + 10

Combine like terms: -10 + 10 = 0
0 + 17p = 1 + 10
17p = 1 + 10

Combine like terms: 1 + 10 = 11
17p = 11

Divide each side by '17'.
p = 0.6470588235

Simplifying
p = 0.6470588235

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