17=3(p-5)+9

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Solution for 17=3(p-5)+9 equation:


Simplifying
17 = 3(p + -5) + 9

Reorder the terms:
17 = 3(-5 + p) + 9
17 = (-5 * 3 + p * 3) + 9
17 = (-15 + 3p) + 9

Reorder the terms:
17 = -15 + 9 + 3p

Combine like terms: -15 + 9 = -6
17 = -6 + 3p

Solving
17 = -6 + 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 = -6 + 3p + -3p

Combine like terms: 3p + -3p = 0
17 + -3p = -6 + 0
17 + -3p = -6

Add '-17' to each side of the equation.
17 + -17 + -3p = -6 + -17

Combine like terms: 17 + -17 = 0
0 + -3p = -6 + -17
-3p = -6 + -17

Combine like terms: -6 + -17 = -23
-3p = -23

Divide each side by '-3'.
p = 7.666666667

Simplifying
p = 7.666666667

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