2(p+2)-5(2p-4)=10

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Solution for 2(p+2)-5(2p-4)=10 equation: 


Simplifying
2(p + 2) + -5(2p + -4) = 10

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

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

Reorder the terms:
4 + 20 + 2p + -10p = 10

Combine like terms: 4 + 20 = 24
24 + 2p + -10p = 10

Combine like terms: 2p + -10p = -8p
24 + -8p = 10

Solving
24 + -8p = 10

Solving for variable 'p'.

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

Add '-24' to each side of the equation.
24 + -24 + -8p = 10 + -24

Combine like terms: 24 + -24 = 0
0 + -8p = 10 + -24
-8p = 10 + -24

Combine like terms: 10 + -24 = -14
-8p = -14

Divide each side by '-8'.
p = 1.75

Simplifying
p = 1.75

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