54p+53(p+28)=39p-80

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Solution for 54p+53(p+28)=39p-80 equation:


Simplifying
54p + 53(p + 28) = 39p + -80

Reorder the terms:
54p + 53(28 + p) = 39p + -80
54p + (28 * 53 + p * 53) = 39p + -80
54p + (1484 + 53p) = 39p + -80

Reorder the terms:
1484 + 54p + 53p = 39p + -80

Combine like terms: 54p + 53p = 107p
1484 + 107p = 39p + -80

Reorder the terms:
1484 + 107p = -80 + 39p

Solving
1484 + 107p = -80 + 39p

Solving for variable 'p'.

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

Add '-39p' to each side of the equation.
1484 + 107p + -39p = -80 + 39p + -39p

Combine like terms: 107p + -39p = 68p
1484 + 68p = -80 + 39p + -39p

Combine like terms: 39p + -39p = 0
1484 + 68p = -80 + 0
1484 + 68p = -80

Add '-1484' to each side of the equation.
1484 + -1484 + 68p = -80 + -1484

Combine like terms: 1484 + -1484 = 0
0 + 68p = -80 + -1484
68p = -80 + -1484

Combine like terms: -80 + -1484 = -1564
68p = -1564

Divide each side by '68'.
p = -23

Simplifying
p = -23

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