7(8-p)=5(9-p)+19

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Solution for 7(8-p)=5(9-p)+19 equation: 


Simplifying
7(8 + -1p) = 5(9 + -1p) + 19
(8 * 7 + -1p * 7) = 5(9 + -1p) + 19
(56 + -7p) = 5(9 + -1p) + 19
56 + -7p = (9 * 5 + -1p * 5) + 19
56 + -7p = (45 + -5p) + 19

Reorder the terms:
56 + -7p = 45 + 19 + -5p

Combine like terms: 45 + 19 = 64
56 + -7p = 64 + -5p

Solving
56 + -7p = 64 + -5p

Solving for variable 'p'.

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

Add '5p' to each side of the equation.
56 + -7p + 5p = 64 + -5p + 5p

Combine like terms: -7p + 5p = -2p
56 + -2p = 64 + -5p + 5p

Combine like terms: -5p + 5p = 0
56 + -2p = 64 + 0
56 + -2p = 64

Add '-56' to each side of the equation.
56 + -56 + -2p = 64 + -56

Combine like terms: 56 + -56 = 0
0 + -2p = 64 + -56
-2p = 64 + -56

Combine like terms: 64 + -56 = 8
-2p = 8

Divide each side by '-2'.
p = -4

Simplifying
p = -4

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