17+5p=3(p-5)

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


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

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

Solving
17 + 5p = -15 + 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 + 5p + -3p = -15 + 3p + -3p

Combine like terms: 5p + -3p = 2p
17 + 2p = -15 + 3p + -3p

Combine like terms: 3p + -3p = 0
17 + 2p = -15 + 0
17 + 2p = -15

Add '-17' to each side of the equation.
17 + -17 + 2p = -15 + -17

Combine like terms: 17 + -17 = 0
0 + 2p = -15 + -17
2p = -15 + -17

Combine like terms: -15 + -17 = -32
2p = -32

Divide each side by '2'.
p = -16

Simplifying
p = -16

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