-15x-20y-17p=91y+15p-31x+10-7

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Solution for -15x-20y-17p=91y+15p-31x+10-7 equation: 


Simplifying
-15x + -20y + -17p = 91y + 15p + -31x + 10 + -7

Reorder the terms:
-17p + -15x + -20y = 91y + 15p + -31x + 10 + -7

Reorder the terms:
-17p + -15x + -20y = 10 + -7 + 15p + -31x + 91y

Combine like terms: 10 + -7 = 3
-17p + -15x + -20y = 3 + 15p + -31x + 91y

Solving
-17p + -15x + -20y = 3 + 15p + -31x + 91y

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
-17p + -15x + -15p + -20y = 3 + 15p + -31x + -15p + 91y

Reorder the terms:
-17p + -15p + -15x + -20y = 3 + 15p + -31x + -15p + 91y

Combine like terms: -17p + -15p = -32p
-32p + -15x + -20y = 3 + 15p + -31x + -15p + 91y

Reorder the terms:
-32p + -15x + -20y = 3 + 15p + -15p + -31x + 91y

Combine like terms: 15p + -15p = 0
-32p + -15x + -20y = 3 + 0 + -31x + 91y
-32p + -15x + -20y = 3 + -31x + 91y

Add '15x' to each side of the equation.
-32p + -15x + 15x + -20y = 3 + -31x + 15x + 91y

Combine like terms: -15x + 15x = 0
-32p + 0 + -20y = 3 + -31x + 15x + 91y
-32p + -20y = 3 + -31x + 15x + 91y

Combine like terms: -31x + 15x = -16x
-32p + -20y = 3 + -16x + 91y

Add '20y' to each side of the equation.
-32p + -20y + 20y = 3 + -16x + 91y + 20y

Combine like terms: -20y + 20y = 0
-32p + 0 = 3 + -16x + 91y + 20y
-32p = 3 + -16x + 91y + 20y

Combine like terms: 91y + 20y = 111y
-32p = 3 + -16x + 111y

Divide each side by '-32'.
p = -0.09375 + 0.5x + -3.46875y

Simplifying
p = -0.09375 + 0.5x + -3.46875y

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