6a-13=4a+9

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Solution for 6a-13=4a+9 equation:


Simplifying
6a + -13 = 4a + 9

Reorder the terms:
-13 + 6a = 4a + 9

Reorder the terms:
-13 + 6a = 9 + 4a

Solving
-13 + 6a = 9 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-13 + 6a + -4a = 9 + 4a + -4a

Combine like terms: 6a + -4a = 2a
-13 + 2a = 9 + 4a + -4a

Combine like terms: 4a + -4a = 0
-13 + 2a = 9 + 0
-13 + 2a = 9

Add '13' to each side of the equation.
-13 + 13 + 2a = 9 + 13

Combine like terms: -13 + 13 = 0
0 + 2a = 9 + 13
2a = 9 + 13

Combine like terms: 9 + 13 = 22
2a = 22

Divide each side by '2'.
a = 11

Simplifying
a = 11

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