2p-4+16=5p-9

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Solution for 2p-4+16=5p-9 equation: 


Simplifying
2p + -4 + 16 = 5p + -9

Reorder the terms:
-4 + 16 + 2p = 5p + -9

Combine like terms: -4 + 16 = 12
12 + 2p = 5p + -9

Reorder the terms:
12 + 2p = -9 + 5p

Solving
12 + 2p = -9 + 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.
12 + 2p + -5p = -9 + 5p + -5p

Combine like terms: 2p + -5p = -3p
12 + -3p = -9 + 5p + -5p

Combine like terms: 5p + -5p = 0
12 + -3p = -9 + 0
12 + -3p = -9

Add '-12' to each side of the equation.
12 + -12 + -3p = -9 + -12

Combine like terms: 12 + -12 = 0
0 + -3p = -9 + -12
-3p = -9 + -12

Combine like terms: -9 + -12 = -21
-3p = -21

Divide each side by '-3'.
p = 7

Simplifying
p = 7

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