3(a-2)=9-2a

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Solution for 3(a-2)=9-2a equation:


Simplifying
3(a + -2) = 9 + -2a

Reorder the terms:
3(-2 + a) = 9 + -2a
(-2 * 3 + a * 3) = 9 + -2a
(-6 + 3a) = 9 + -2a

Solving
-6 + 3a = 9 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
-6 + 3a + 2a = 9 + -2a + 2a

Combine like terms: 3a + 2a = 5a
-6 + 5a = 9 + -2a + 2a

Combine like terms: -2a + 2a = 0
-6 + 5a = 9 + 0
-6 + 5a = 9

Add '6' to each side of the equation.
-6 + 6 + 5a = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 5a = 9 + 6
5a = 9 + 6

Combine like terms: 9 + 6 = 15
5a = 15

Divide each side by '5'.
a = 3

Simplifying
a = 3

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