4p-8=12p+16

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Solution for 4p-8=12p+16 equation:


Simplifying
4p + -8 = 12p + 16

Reorder the terms:
-8 + 4p = 12p + 16

Reorder the terms:
-8 + 4p = 16 + 12p

Solving
-8 + 4p = 16 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
-8 + 4p + -12p = 16 + 12p + -12p

Combine like terms: 4p + -12p = -8p
-8 + -8p = 16 + 12p + -12p

Combine like terms: 12p + -12p = 0
-8 + -8p = 16 + 0
-8 + -8p = 16

Add '8' to each side of the equation.
-8 + 8 + -8p = 16 + 8

Combine like terms: -8 + 8 = 0
0 + -8p = 16 + 8
-8p = 16 + 8

Combine like terms: 16 + 8 = 24
-8p = 24

Divide each side by '-8'.
p = -3

Simplifying
p = -3

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