17=3(p-3)+8

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Solution for 17=3(p-3)+8 equation: 


Simplifying
17 = 3(p + -3) + 8

Reorder the terms:
17 = 3(-3 + p) + 8
17 = (-3 * 3 + p * 3) + 8
17 = (-9 + 3p) + 8

Reorder the terms:
17 = -9 + 8 + 3p

Combine like terms: -9 + 8 = -1
17 = -1 + 3p

Solving
17 = -1 + 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 = -1 + 3p + -3p

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

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

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

Combine like terms: -1 + -17 = -18
-3p = -18

Divide each side by '-3'.
p = 6

Simplifying
p = 6

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