6a-9=3a+16

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Solution for 6a-9=3a+16 equation:


Simplifying
6a + -9 = 3a + 16

Reorder the terms:
-9 + 6a = 3a + 16

Reorder the terms:
-9 + 6a = 16 + 3a

Solving
-9 + 6a = 16 + 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.
-9 + 6a + -3a = 16 + 3a + -3a

Combine like terms: 6a + -3a = 3a
-9 + 3a = 16 + 3a + -3a

Combine like terms: 3a + -3a = 0
-9 + 3a = 16 + 0
-9 + 3a = 16

Add '9' to each side of the equation.
-9 + 9 + 3a = 16 + 9

Combine like terms: -9 + 9 = 0
0 + 3a = 16 + 9
3a = 16 + 9

Combine like terms: 16 + 9 = 25
3a = 25

Divide each side by '3'.
a = 8.333333333

Simplifying
a = 8.333333333

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