16a-9=12a+33

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Solution for 16a-9=12a+33 equation:


Simplifying
16a + -9 = 12a + 33

Reorder the terms:
-9 + 16a = 12a + 33

Reorder the terms:
-9 + 16a = 33 + 12a

Solving
-9 + 16a = 33 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
-9 + 16a + -12a = 33 + 12a + -12a

Combine like terms: 16a + -12a = 4a
-9 + 4a = 33 + 12a + -12a

Combine like terms: 12a + -12a = 0
-9 + 4a = 33 + 0
-9 + 4a = 33

Add '9' to each side of the equation.
-9 + 9 + 4a = 33 + 9

Combine like terms: -9 + 9 = 0
0 + 4a = 33 + 9
4a = 33 + 9

Combine like terms: 33 + 9 = 42
4a = 42

Divide each side by '4'.
a = 10.5

Simplifying
a = 10.5

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