5p-14=8p+16

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Solution for 5p-14=8p+16 equation:


Simplifying
5p + -14 = 8p + 16

Reorder the terms:
-14 + 5p = 8p + 16

Reorder the terms:
-14 + 5p = 16 + 8p

Solving
-14 + 5p = 16 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
-14 + 5p + -8p = 16 + 8p + -8p

Combine like terms: 5p + -8p = -3p
-14 + -3p = 16 + 8p + -8p

Combine like terms: 8p + -8p = 0
-14 + -3p = 16 + 0
-14 + -3p = 16

Add '14' to each side of the equation.
-14 + 14 + -3p = 16 + 14

Combine like terms: -14 + 14 = 0
0 + -3p = 16 + 14
-3p = 16 + 14

Combine like terms: 16 + 14 = 30
-3p = 30

Divide each side by '-3'.
p = -10

Simplifying
p = -10

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