p-0.4p-0.25(p-0.4p)-3=11.85

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Solution for p-0.4p-0.25(p-0.4p)-3=11.85 equation:


Simplifying
p + -0.4p + -0.25(p + -0.4p) + -3 = 11.85

Combine like terms: p + -0.4p = 0.6p
p + -0.4p + -0.25(0.6p) + -3 = 11.85

Remove parenthesis around (0.6p)
p + -0.4p + -0.25 * 0.6p + -3 = 11.85

Multiply -0.25 * 0.6
p + -0.4p + -0.15p + -3 = 11.85

Reorder the terms:
-3 + p + -0.4p + -0.15p = 11.85

Combine like terms: p + -0.4p = 0.6p
-3 + 0.6p + -0.15p = 11.85

Combine like terms: 0.6p + -0.15p = 0.45p
-3 + 0.45p = 11.85

Solving
-3 + 0.45p = 11.85

Solving for variable 'p'.

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

Add '3' to each side of the equation.
-3 + 3 + 0.45p = 11.85 + 3

Combine like terms: -3 + 3 = 0
0 + 0.45p = 11.85 + 3
0.45p = 11.85 + 3

Combine like terms: 11.85 + 3 = 14.85
0.45p = 14.85

Divide each side by '0.45'.
p = 33

Simplifying
p = 33

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