17=3[p-5]+8

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Solution for 17=3[p-5]+8 equation: 


Simplifying
17 = 3[p + -5] + 8

Reorder the terms:
17 = 3[-5 + p] + 8
17 = [-5 * 3 + p * 3] + 8
17 = [-15 + 3p] + 8

Reorder the terms:
17 = -15 + 8 + 3p

Combine like terms: -15 + 8 = -7
17 = -7 + 3p

Solving
17 = -7 + 3p

Solving for variable 'p'.

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

Add '-3p' to each side of the equation.
17 + -3p = -7 + 3p + -3p

Combine like terms: 3p + -3p = 0
17 + -3p = -7 + 0
17 + -3p = -7

Add '-17' to each side of the equation.
17 + -17 + -3p = -7 + -17

Combine like terms: 17 + -17 = 0
0 + -3p = -7 + -17
-3p = -7 + -17

Combine like terms: -7 + -17 = -24
-3p = -24

Divide each side by '-3'.
p = 8

Simplifying
p = 8

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