ps+0.5pn+pr=0

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Solution for ps+0.5pn+pr=0 equation:


Simplifying
ps + 0.5pn + pr = 0

Reorder the terms:
0.5np + pr + ps = 0

Solving
0.5np + pr + ps = 0

Solving for variable 'n'.

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

Add '-1pr' to each side of the equation.
0.5np + pr + -1pr + ps = 0 + -1pr

Combine like terms: pr + -1pr = 0
0.5np + 0 + ps = 0 + -1pr
0.5np + ps = 0 + -1pr
Remove the zero:
0.5np + ps = -1pr

Add '-1ps' to each side of the equation.
0.5np + ps + -1ps = -1pr + -1ps

Combine like terms: ps + -1ps = 0
0.5np + 0 = -1pr + -1ps
0.5np = -1pr + -1ps

Divide each side by '0.5p'.
n = -2r + -2s

Simplifying
n = -2r + -2s

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