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

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


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

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

Remove parenthesis around (17 + p)
17 + p = 5(p + -3)

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

Solving
17 + p = -15 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
17 + p + -5p = -15 + 5p + -5p

Combine like terms: p + -5p = -4p
17 + -4p = -15 + 5p + -5p

Combine like terms: 5p + -5p = 0
17 + -4p = -15 + 0
17 + -4p = -15

Add '-17' to each side of the equation.
17 + -17 + -4p = -15 + -17

Combine like terms: 17 + -17 = 0
0 + -4p = -15 + -17
-4p = -15 + -17

Combine like terms: -15 + -17 = -32
-4p = -32

Divide each side by '-4'.
p = 8

Simplifying
p = 8

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