6a-13=4a+57

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Solution for 6a-13=4a+57 equation:


Simplifying
6a + -13 = 4a + 57

Reorder the terms:
-13 + 6a = 4a + 57

Reorder the terms:
-13 + 6a = 57 + 4a

Solving
-13 + 6a = 57 + 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 = 57 + 4a + -4a

Combine like terms: 6a + -4a = 2a
-13 + 2a = 57 + 4a + -4a

Combine like terms: 4a + -4a = 0
-13 + 2a = 57 + 0
-13 + 2a = 57

Add '13' to each side of the equation.
-13 + 13 + 2a = 57 + 13

Combine like terms: -13 + 13 = 0
0 + 2a = 57 + 13
2a = 57 + 13

Combine like terms: 57 + 13 = 70
2a = 70

Divide each side by '2'.
a = 35

Simplifying
a = 35

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