17=(p-5)+8

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Solution for 17=(p-5)+8 equation:


Simplifying
17 = (p + -5) + 8

Reorder the terms:
17 = (-5 + p) + 8

Remove parenthesis around (-5 + p)
17 = -5 + p + 8

Reorder the terms:
17 = -5 + 8 + p

Combine like terms: -5 + 8 = 3
17 = 3 + p

Solving
17 = 3 + p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
17 + -1p = 3 + p + -1p

Combine like terms: p + -1p = 0
17 + -1p = 3 + 0
17 + -1p = 3

Add '-17' to each side of the equation.
17 + -17 + -1p = 3 + -17

Combine like terms: 17 + -17 = 0
0 + -1p = 3 + -17
-1p = 3 + -17

Combine like terms: 3 + -17 = -14
-1p = -14

Divide each side by '-1'.
p = 14

Simplifying
p = 14

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