p-5(5p+4)=100

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Solution for p-5(5p+4)=100 equation:


Simplifying
p + -5(5p + 4) = 100

Reorder the terms:
p + -5(4 + 5p) = 100
p + (4 * -5 + 5p * -5) = 100
p + (-20 + -25p) = 100

Reorder the terms:
-20 + p + -25p = 100

Combine like terms: p + -25p = -24p
-20 + -24p = 100

Solving
-20 + -24p = 100

Solving for variable 'p'.

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

Add '20' to each side of the equation.
-20 + 20 + -24p = 100 + 20

Combine like terms: -20 + 20 = 0
0 + -24p = 100 + 20
-24p = 100 + 20

Combine like terms: 100 + 20 = 120
-24p = 120

Divide each side by '-24'.
p = -5

Simplifying
p = -5

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