3a-4a+9=-12a+43-6a

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Solution for 3a-4a+9=-12a+43-6a equation:


Simplifying
3a + -4a + 9 = -12a + 43 + -6a

Reorder the terms:
9 + 3a + -4a = -12a + 43 + -6a

Combine like terms: 3a + -4a = -1a
9 + -1a = -12a + 43 + -6a

Reorder the terms:
9 + -1a = 43 + -12a + -6a

Combine like terms: -12a + -6a = -18a
9 + -1a = 43 + -18a

Solving
9 + -1a = 43 + -18a

Solving for variable 'a'.

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

Add '18a' to each side of the equation.
9 + -1a + 18a = 43 + -18a + 18a

Combine like terms: -1a + 18a = 17a
9 + 17a = 43 + -18a + 18a

Combine like terms: -18a + 18a = 0
9 + 17a = 43 + 0
9 + 17a = 43

Add '-9' to each side of the equation.
9 + -9 + 17a = 43 + -9

Combine like terms: 9 + -9 = 0
0 + 17a = 43 + -9
17a = 43 + -9

Combine like terms: 43 + -9 = 34
17a = 34

Divide each side by '17'.
a = 2

Simplifying
a = 2

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