13a-52=9a+28

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Solution for 13a-52=9a+28 equation:


Simplifying
13a + -52 = 9a + 28

Reorder the terms:
-52 + 13a = 9a + 28

Reorder the terms:
-52 + 13a = 28 + 9a

Solving
-52 + 13a = 28 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
-52 + 13a + -9a = 28 + 9a + -9a

Combine like terms: 13a + -9a = 4a
-52 + 4a = 28 + 9a + -9a

Combine like terms: 9a + -9a = 0
-52 + 4a = 28 + 0
-52 + 4a = 28

Add '52' to each side of the equation.
-52 + 52 + 4a = 28 + 52

Combine like terms: -52 + 52 = 0
0 + 4a = 28 + 52
4a = 28 + 52

Combine like terms: 28 + 52 = 80
4a = 80

Divide each side by '4'.
a = 20

Simplifying
a = 20

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