P+q-3p+4q+5r+r=

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Solution for P+q-3p+4q+5r+r= equation:


Simplifying
P + q + -3p + 4q + 5r + r = 0

Reorder the terms:
P + -3p + q + 4q + 5r + r = 0

Combine like terms: q + 4q = 5q
P + -3p + 5q + 5r + r = 0

Combine like terms: 5r + r = 6r
P + -3p + 5q + 6r = 0

Solving
P + -3p + 5q + 6r = 0

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.
P + -3p + 5q + 3p + 6r = 0 + 3p

Reorder the terms:
P + -3p + 3p + 5q + 6r = 0 + 3p

Combine like terms: -3p + 3p = 0
P + 0 + 5q + 6r = 0 + 3p
P + 5q + 6r = 0 + 3p
Remove the zero:
P + 5q + 6r = 3p

Add '-5q' to each side of the equation.
P + 5q + -5q + 6r = 3p + -5q

Combine like terms: 5q + -5q = 0
P + 0 + 6r = 3p + -5q
P + 6r = 3p + -5q

Add '-6r' to each side of the equation.
P + 6r + -6r = 3p + -5q + -6r

Combine like terms: 6r + -6r = 0
P + 0 = 3p + -5q + -6r
P = 3p + -5q + -6r

Simplifying
P = 3p + -5q + -6r

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