8-5(p-4)=2p

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Solution for 8-5(p-4)=2p equation:


Simplifying
8 + -5(p + -4) = 2p

Reorder the terms:
8 + -5(-4 + p) = 2p
8 + (-4 * -5 + p * -5) = 2p
8 + (20 + -5p) = 2p

Combine like terms: 8 + 20 = 28
28 + -5p = 2p

Solving
28 + -5p = 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.
28 + -5p + -2p = 2p + -2p

Combine like terms: -5p + -2p = -7p
28 + -7p = 2p + -2p

Combine like terms: 2p + -2p = 0
28 + -7p = 0

Add '-28' to each side of the equation.
28 + -28 + -7p = 0 + -28

Combine like terms: 28 + -28 = 0
0 + -7p = 0 + -28
-7p = 0 + -28

Combine like terms: 0 + -28 = -28
-7p = -28

Divide each side by '-7'.
p = 4

Simplifying
p = 4

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