p+(.8p)+(p-.4)=3.8

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Solution for p+(.8p)+(p-.4)=3.8 equation: 


Simplifying
p + (0.8p) + (p + -0.4) = 3.8

Reorder the terms:
p + (0.8p) + (-0.4 + p) = 3.8

Remove parenthesis around (-0.4 + p)
p + (0.8p) + -0.4 + p = 3.8

Reorder the terms:
-0.4 + p + (0.8p) + p = 3.8

Combine like terms: p + (0.8p) = 1.8p
-0.4 + 1.8p + p = 3.8

Combine like terms: 1.8p + p = 2.8p
-0.4 + 2.8p = 3.8

Solving
-0.4 + 2.8p = 3.8

Solving for variable 'p'.

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

Add '0.4' to each side of the equation.
-0.4 + 0.4 + 2.8p = 3.8 + 0.4

Combine like terms: -0.4 + 0.4 = 0.0
0.0 + 2.8p = 3.8 + 0.4
2.8p = 3.8 + 0.4

Combine like terms: 3.8 + 0.4 = 4.2
2.8p = 4.2

Divide each side by '2.8'.
p = 1.5

Simplifying
p = 1.5

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