(2p+20)+12=p+(40+5)

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Solution for (2p+20)+12=p+(40+5) equation: 


Simplifying
(2p + 20) + 12 = p + (40 + 5)

Reorder the terms:
(20 + 2p) + 12 = p + (40 + 5)

Remove parenthesis around (20 + 2p)
20 + 2p + 12 = p + (40 + 5)

Reorder the terms:
20 + 12 + 2p = p + (40 + 5)

Combine like terms: 20 + 12 = 32
32 + 2p = p + (40 + 5)

Combine like terms: 40 + 5 = 45
32 + 2p = p + (45)
32 + 2p = p + 45

Reorder the terms:
32 + 2p = 45 + p

Solving
32 + 2p = 45 + p

Solving for variable 'p'.

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

Add '-1p' to each side of the equation.
32 + 2p + -1p = 45 + p + -1p

Combine like terms: 2p + -1p = 1p
32 + 1p = 45 + p + -1p

Combine like terms: p + -1p = 0
32 + 1p = 45 + 0
32 + 1p = 45

Add '-32' to each side of the equation.
32 + -32 + 1p = 45 + -32

Combine like terms: 32 + -32 = 0
0 + 1p = 45 + -32
1p = 45 + -32

Combine like terms: 45 + -32 = 13
1p = 13

Divide each side by '1'.
p = 13

Simplifying
p = 13

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