7(4.5p-93.96)=-73.2p+3(55.9p-86.94)

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Solution for 7(4.5p-93.96)=-73.2p+3(55.9p-86.94) equation:


Simplifying
7(4.5p + -93.96) = -73.2p + 3(55.9p + -86.94)

Reorder the terms:
7(-93.96 + 4.5p) = -73.2p + 3(55.9p + -86.94)
(-93.96 * 7 + 4.5p * 7) = -73.2p + 3(55.9p + -86.94)
(-657.72 + 31.5p) = -73.2p + 3(55.9p + -86.94)

Reorder the terms:
-657.72 + 31.5p = -73.2p + 3(-86.94 + 55.9p)
-657.72 + 31.5p = -73.2p + (-86.94 * 3 + 55.9p * 3)
-657.72 + 31.5p = -73.2p + (-260.82 + 167.7p)

Reorder the terms:
-657.72 + 31.5p = -260.82 + -73.2p + 167.7p

Combine like terms: -73.2p + 167.7p = 94.5p
-657.72 + 31.5p = -260.82 + 94.5p

Solving
-657.72 + 31.5p = -260.82 + 94.5p

Solving for variable 'p'.

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

Add '-94.5p' to each side of the equation.
-657.72 + 31.5p + -94.5p = -260.82 + 94.5p + -94.5p

Combine like terms: 31.5p + -94.5p = -63p
-657.72 + -63p = -260.82 + 94.5p + -94.5p

Combine like terms: 94.5p + -94.5p = 0.0
-657.72 + -63p = -260.82 + 0.0
-657.72 + -63p = -260.82

Add '657.72' to each side of the equation.
-657.72 + 657.72 + -63p = -260.82 + 657.72

Combine like terms: -657.72 + 657.72 = 0.00
0.00 + -63p = -260.82 + 657.72
-63p = -260.82 + 657.72

Combine like terms: -260.82 + 657.72 = 396.9
-63p = 396.9

Divide each side by '-63'.
p = -6.3

Simplifying
p = -6.3

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