4p+11(1-p)=8p+5(1-p)

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Solution for 4p+11(1-p)=8p+5(1-p) equation: 


Simplifying
4p + 11(1 + -1p) = 8p + 5(1 + -1p)
4p + (1 * 11 + -1p * 11) = 8p + 5(1 + -1p)
4p + (11 + -11p) = 8p + 5(1 + -1p)

Reorder the terms:
11 + 4p + -11p = 8p + 5(1 + -1p)

Combine like terms: 4p + -11p = -7p
11 + -7p = 8p + 5(1 + -1p)
11 + -7p = 8p + (1 * 5 + -1p * 5)
11 + -7p = 8p + (5 + -5p)

Reorder the terms:
11 + -7p = 5 + 8p + -5p

Combine like terms: 8p + -5p = 3p
11 + -7p = 5 + 3p

Solving
11 + -7p = 5 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
11 + -7p + -3p = 5 + 3p + -3p

Combine like terms: -7p + -3p = -10p
11 + -10p = 5 + 3p + -3p

Combine like terms: 3p + -3p = 0
11 + -10p = 5 + 0
11 + -10p = 5

Add '-11' to each side of the equation.
11 + -11 + -10p = 5 + -11

Combine like terms: 11 + -11 = 0
0 + -10p = 5 + -11
-10p = 5 + -11

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

Divide each side by '-10'.
p = 0.6

Simplifying
p = 0.6

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