3p+16=5p-38

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Solution for 3p+16=5p-38 equation:


Simplifying
3p + 16 = 5p + -38

Reorder the terms:
16 + 3p = 5p + -38

Reorder the terms:
16 + 3p = -38 + 5p

Solving
16 + 3p = -38 + 5p

Solving for variable 'p'.

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

Add '-5p' to each side of the equation.
16 + 3p + -5p = -38 + 5p + -5p

Combine like terms: 3p + -5p = -2p
16 + -2p = -38 + 5p + -5p

Combine like terms: 5p + -5p = 0
16 + -2p = -38 + 0
16 + -2p = -38

Add '-16' to each side of the equation.
16 + -16 + -2p = -38 + -16

Combine like terms: 16 + -16 = 0
0 + -2p = -38 + -16
-2p = -38 + -16

Combine like terms: -38 + -16 = -54
-2p = -54

Divide each side by '-2'.
p = 27

Simplifying
p = 27

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