p+4-5p=4(p-5)

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Solution for p+4-5p=4(p-5) equation:


Simplifying
p + 4 + -5p = 4(p + -5)

Reorder the terms:
4 + p + -5p = 4(p + -5)

Combine like terms: p + -5p = -4p
4 + -4p = 4(p + -5)

Reorder the terms:
4 + -4p = 4(-5 + p)
4 + -4p = (-5 * 4 + p * 4)
4 + -4p = (-20 + 4p)

Solving
4 + -4p = -20 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
4 + -4p + -4p = -20 + 4p + -4p

Combine like terms: -4p + -4p = -8p
4 + -8p = -20 + 4p + -4p

Combine like terms: 4p + -4p = 0
4 + -8p = -20 + 0
4 + -8p = -20

Add '-4' to each side of the equation.
4 + -4 + -8p = -20 + -4

Combine like terms: 4 + -4 = 0
0 + -8p = -20 + -4
-8p = -20 + -4

Combine like terms: -20 + -4 = -24
-8p = -24

Divide each side by '-8'.
p = 3

Simplifying
p = 3

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