10(2p-20)=42+4(2-2p)

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Solution for 10(2p-20)=42+4(2-2p) equation: 


Simplifying
10(2p + -20) = 42 + 4(2 + -2p)

Reorder the terms:
10(-20 + 2p) = 42 + 4(2 + -2p)
(-20 * 10 + 2p * 10) = 42 + 4(2 + -2p)
(-200 + 20p) = 42 + 4(2 + -2p)
-200 + 20p = 42 + (2 * 4 + -2p * 4)
-200 + 20p = 42 + (8 + -8p)

Combine like terms: 42 + 8 = 50
-200 + 20p = 50 + -8p

Solving
-200 + 20p = 50 + -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.
-200 + 20p + 8p = 50 + -8p + 8p

Combine like terms: 20p + 8p = 28p
-200 + 28p = 50 + -8p + 8p

Combine like terms: -8p + 8p = 0
-200 + 28p = 50 + 0
-200 + 28p = 50

Add '200' to each side of the equation.
-200 + 200 + 28p = 50 + 200

Combine like terms: -200 + 200 = 0
0 + 28p = 50 + 200
28p = 50 + 200

Combine like terms: 50 + 200 = 250
28p = 250

Divide each side by '28'.
p = 8.928571429

Simplifying
p = 8.928571429

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