0.5(8p+4p-16)=40-2p

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Solution for 0.5(8p+4p-16)=40-2p equation: 


Simplifying
0.5(8p + 4p + -16) = 40 + -2p

Reorder the terms:
0.5(-16 + 8p + 4p) = 40 + -2p

Combine like terms: 8p + 4p = 12p
0.5(-16 + 12p) = 40 + -2p
(-16 * 0.5 + 12p * 0.5) = 40 + -2p
(-8 + 6p) = 40 + -2p

Solving
-8 + 6p = 40 + -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.
-8 + 6p + 2p = 40 + -2p + 2p

Combine like terms: 6p + 2p = 8p
-8 + 8p = 40 + -2p + 2p

Combine like terms: -2p + 2p = 0
-8 + 8p = 40 + 0
-8 + 8p = 40

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

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

Combine like terms: 40 + 8 = 48
8p = 48

Divide each side by '8'.
p = 6

Simplifying
p = 6

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