6(a-2)=3(a+2)

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Solution for 6(a-2)=3(a+2) equation:


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

Reorder the terms:
6(-2 + a) = 3(a + 2)
(-2 * 6 + a * 6) = 3(a + 2)
(-12 + 6a) = 3(a + 2)

Reorder the terms:
-12 + 6a = 3(2 + a)
-12 + 6a = (2 * 3 + a * 3)
-12 + 6a = (6 + 3a)

Solving
-12 + 6a = 6 + 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.
-12 + 6a + -3a = 6 + 3a + -3a

Combine like terms: 6a + -3a = 3a
-12 + 3a = 6 + 3a + -3a

Combine like terms: 3a + -3a = 0
-12 + 3a = 6 + 0
-12 + 3a = 6

Add '12' to each side of the equation.
-12 + 12 + 3a = 6 + 12

Combine like terms: -12 + 12 = 0
0 + 3a = 6 + 12
3a = 6 + 12

Combine like terms: 6 + 12 = 18
3a = 18

Divide each side by '3'.
a = 6

Simplifying
a = 6

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