31p-6=52p-69

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Solution for 31p-6=52p-69 equation:


Simplifying
31p + -6 = 52p + -69

Reorder the terms:
-6 + 31p = 52p + -69

Reorder the terms:
-6 + 31p = -69 + 52p

Solving
-6 + 31p = -69 + 52p

Solving for variable 'p'.

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

Add '-52p' to each side of the equation.
-6 + 31p + -52p = -69 + 52p + -52p

Combine like terms: 31p + -52p = -21p
-6 + -21p = -69 + 52p + -52p

Combine like terms: 52p + -52p = 0
-6 + -21p = -69 + 0
-6 + -21p = -69

Add '6' to each side of the equation.
-6 + 6 + -21p = -69 + 6

Combine like terms: -6 + 6 = 0
0 + -21p = -69 + 6
-21p = -69 + 6

Combine like terms: -69 + 6 = -63
-21p = -63

Divide each side by '-21'.
p = 3

Simplifying
p = 3

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