4a+9=2-3a

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Solution for 4a+9=2-3a equation:


Simplifying
4a + 9 = 2 + -3a

Reorder the terms:
9 + 4a = 2 + -3a

Solving
9 + 4a = 2 + -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 + 4a + 3a = 2 + -3a + 3a

Combine like terms: 4a + 3a = 7a
9 + 7a = 2 + -3a + 3a

Combine like terms: -3a + 3a = 0
9 + 7a = 2 + 0
9 + 7a = 2

Add '-9' to each side of the equation.
9 + -9 + 7a = 2 + -9

Combine like terms: 9 + -9 = 0
0 + 7a = 2 + -9
7a = 2 + -9

Combine like terms: 2 + -9 = -7
7a = -7

Divide each side by '7'.
a = -1

Simplifying
a = -1

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