5-p=8(p-5)

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Solution for 5-p=8(p-5) equation:


Simplifying
5 + -1p = 8(p + -5)

Reorder the terms:
5 + -1p = 8(-5 + p)
5 + -1p = (-5 * 8 + p * 8)
5 + -1p = (-40 + 8p)

Solving
5 + -1p = -40 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
5 + -1p + -8p = -40 + 8p + -8p

Combine like terms: -1p + -8p = -9p
5 + -9p = -40 + 8p + -8p

Combine like terms: 8p + -8p = 0
5 + -9p = -40 + 0
5 + -9p = -40

Add '-5' to each side of the equation.
5 + -5 + -9p = -40 + -5

Combine like terms: 5 + -5 = 0
0 + -9p = -40 + -5
-9p = -40 + -5

Combine like terms: -40 + -5 = -45
-9p = -45

Divide each side by '-9'.
p = 5

Simplifying
p = 5

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