3457(98p+34d-52c)=9823(120p-89d+32c)

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Solution for 3457(98p+34d-52c)=9823(120p-89d+32c) equation:


Simplifying
3457(98p + 34d + -52c) = 9823(120p + -89d + 32c)

Reorder the terms:
3457(-52c + 34d + 98p) = 9823(120p + -89d + 32c)
(-52c * 3457 + 34d * 3457 + 98p * 3457) = 9823(120p + -89d + 32c)
(-179764c + 117538d + 338786p) = 9823(120p + -89d + 32c)

Reorder the terms:
-179764c + 117538d + 338786p = 9823(32c + -89d + 120p)
-179764c + 117538d + 338786p = (32c * 9823 + -89d * 9823 + 120p * 9823)
-179764c + 117538d + 338786p = (314336c + -874247d + 1178760p)

Solving
-179764c + 117538d + 338786p = 314336c + -874247d + 1178760p

Solving for variable 'c'.

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

Add '-314336c' to each side of the equation.
-179764c + 117538d + -314336c + 338786p = 314336c + -874247d + -314336c + 1178760p

Reorder the terms:
-179764c + -314336c + 117538d + 338786p = 314336c + -874247d + -314336c + 1178760p

Combine like terms: -179764c + -314336c = -494100c
-494100c + 117538d + 338786p = 314336c + -874247d + -314336c + 1178760p

Reorder the terms:
-494100c + 117538d + 338786p = 314336c + -314336c + -874247d + 1178760p

Combine like terms: 314336c + -314336c = 0
-494100c + 117538d + 338786p = 0 + -874247d + 1178760p
-494100c + 117538d + 338786p = -874247d + 1178760p

Add '-117538d' to each side of the equation.
-494100c + 117538d + -117538d + 338786p = -874247d + -117538d + 1178760p

Combine like terms: 117538d + -117538d = 0
-494100c + 0 + 338786p = -874247d + -117538d + 1178760p
-494100c + 338786p = -874247d + -117538d + 1178760p

Combine like terms: -874247d + -117538d = -991785d
-494100c + 338786p = -991785d + 1178760p

Add '-338786p' to each side of the equation.
-494100c + 338786p + -338786p = -991785d + 1178760p + -338786p

Combine like terms: 338786p + -338786p = 0
-494100c + 0 = -991785d + 1178760p + -338786p
-494100c = -991785d + 1178760p + -338786p

Combine like terms: 1178760p + -338786p = 839974p
-494100c = -991785d + 839974p

Divide each side by '-494100'.
c = 2.007255616d + -1.700008096p

Simplifying
c = 2.007255616d + -1.700008096p

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