6a-7=3a+9

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Solution for 6a-7=3a+9 equation:


Simplifying
6a + -7 = 3a + 9

Reorder the terms:
-7 + 6a = 3a + 9

Reorder the terms:
-7 + 6a = 9 + 3a

Solving
-7 + 6a = 9 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-7 + 6a + -3a = 9 + 3a + -3a

Combine like terms: 6a + -3a = 3a
-7 + 3a = 9 + 3a + -3a

Combine like terms: 3a + -3a = 0
-7 + 3a = 9 + 0
-7 + 3a = 9

Add '7' to each side of the equation.
-7 + 7 + 3a = 9 + 7

Combine like terms: -7 + 7 = 0
0 + 3a = 9 + 7
3a = 9 + 7

Combine like terms: 9 + 7 = 16
3a = 16

Divide each side by '3'.
a = 5.333333333

Simplifying
a = 5.333333333

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