-2p-5(-2p+4)=25-p

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Solution for -2p-5(-2p+4)=25-p equation:


Simplifying
-2p + -5(-2p + 4) = 25 + -1p

Reorder the terms:
-2p + -5(4 + -2p) = 25 + -1p
-2p + (4 * -5 + -2p * -5) = 25 + -1p
-2p + (-20 + 10p) = 25 + -1p

Reorder the terms:
-20 + -2p + 10p = 25 + -1p

Combine like terms: -2p + 10p = 8p
-20 + 8p = 25 + -1p

Solving
-20 + 8p = 25 + -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
-20 + 8p + p = 25 + -1p + p

Combine like terms: 8p + p = 9p
-20 + 9p = 25 + -1p + p

Combine like terms: -1p + p = 0
-20 + 9p = 25 + 0
-20 + 9p = 25

Add '20' to each side of the equation.
-20 + 20 + 9p = 25 + 20

Combine like terms: -20 + 20 = 0
0 + 9p = 25 + 20
9p = 25 + 20

Combine like terms: 25 + 20 = 45
9p = 45

Divide each side by '9'.
p = 5

Simplifying
p = 5

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