2p+2(p-11)=5-(-2p-5)

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Solution for 2p+2(p-11)=5-(-2p-5) equation:


Simplifying
2p + 2(p + -11) = 5 + -1(-2p + -5)

Reorder the terms:
2p + 2(-11 + p) = 5 + -1(-2p + -5)
2p + (-11 * 2 + p * 2) = 5 + -1(-2p + -5)
2p + (-22 + 2p) = 5 + -1(-2p + -5)

Reorder the terms:
-22 + 2p + 2p = 5 + -1(-2p + -5)

Combine like terms: 2p + 2p = 4p
-22 + 4p = 5 + -1(-2p + -5)

Reorder the terms:
-22 + 4p = 5 + -1(-5 + -2p)
-22 + 4p = 5 + (-5 * -1 + -2p * -1)
-22 + 4p = 5 + (5 + 2p)

Combine like terms: 5 + 5 = 10
-22 + 4p = 10 + 2p

Solving
-22 + 4p = 10 + 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.
-22 + 4p + -2p = 10 + 2p + -2p

Combine like terms: 4p + -2p = 2p
-22 + 2p = 10 + 2p + -2p

Combine like terms: 2p + -2p = 0
-22 + 2p = 10 + 0
-22 + 2p = 10

Add '22' to each side of the equation.
-22 + 22 + 2p = 10 + 22

Combine like terms: -22 + 22 = 0
0 + 2p = 10 + 22
2p = 10 + 22

Combine like terms: 10 + 22 = 32
2p = 32

Divide each side by '2'.
p = 16

Simplifying
p = 16

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