pq+4q-9r+5=-10q+4r+6

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Solution for pq+4q-9r+5=-10q+4r+6 equation:


Simplifying
pq + 4q + -9r + 5 = -10q + 4r + 6

Reorder the terms:
5 + pq + 4q + -9r = -10q + 4r + 6

Reorder the terms:
5 + pq + 4q + -9r = 6 + -10q + 4r

Solving
5 + pq + 4q + -9r = 6 + -10q + 4r

Solving for variable 'p'.

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

Add '-5' to each side of the equation.
5 + pq + 4q + -5 + -9r = 6 + -10q + -5 + 4r

Reorder the terms:
5 + -5 + pq + 4q + -9r = 6 + -10q + -5 + 4r

Combine like terms: 5 + -5 = 0
0 + pq + 4q + -9r = 6 + -10q + -5 + 4r
pq + 4q + -9r = 6 + -10q + -5 + 4r

Reorder the terms:
pq + 4q + -9r = 6 + -5 + -10q + 4r

Combine like terms: 6 + -5 = 1
pq + 4q + -9r = 1 + -10q + 4r

Add '-4q' to each side of the equation.
pq + 4q + -4q + -9r = 1 + -10q + -4q + 4r

Combine like terms: 4q + -4q = 0
pq + 0 + -9r = 1 + -10q + -4q + 4r
pq + -9r = 1 + -10q + -4q + 4r

Combine like terms: -10q + -4q = -14q
pq + -9r = 1 + -14q + 4r

Add '9r' to each side of the equation.
pq + -9r + 9r = 1 + -14q + 4r + 9r

Combine like terms: -9r + 9r = 0
pq + 0 = 1 + -14q + 4r + 9r
pq = 1 + -14q + 4r + 9r

Combine like terms: 4r + 9r = 13r
pq = 1 + -14q + 13r

Divide each side by 'q'.
p = q-1 + -14 + 13q-1r

Simplifying
p = q-1 + -14 + 13q-1r

Reorder the terms:
p = -14 + q-1 + 13q-1r

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