20-5(p+1)+3p=(2p-15)

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Solution for 20-5(p+1)+3p=(2p-15) equation: 


Simplifying
20 + -5(p + 1) + 3p = (2p + -15)

Reorder the terms:
20 + -5(1 + p) + 3p = (2p + -15)
20 + (1 * -5 + p * -5) + 3p = (2p + -15)
20 + (-5 + -5p) + 3p = (2p + -15)

Combine like terms: 20 + -5 = 15
15 + -5p + 3p = (2p + -15)

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

Reorder the terms:
15 + -2p = (-15 + 2p)

Remove parenthesis around (-15 + 2p)
15 + -2p = -15 + 2p

Solving
15 + -2p = -15 + 2p

Solving for variable 'p'.

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

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

Combine like terms: -2p + -2p = -4p
15 + -4p = -15 + 2p + -2p

Combine like terms: 2p + -2p = 0
15 + -4p = -15 + 0
15 + -4p = -15

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

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

Combine like terms: -15 + -15 = -30
-4p = -30

Divide each side by '-4'.
p = 7.5

Simplifying
p = 7.5

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