6a+12=3(3a-8)

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Solution for 6a+12=3(3a-8) equation:


Simplifying
6a + 12 = 3(3a + -8)

Reorder the terms:
12 + 6a = 3(3a + -8)

Reorder the terms:
12 + 6a = 3(-8 + 3a)
12 + 6a = (-8 * 3 + 3a * 3)
12 + 6a = (-24 + 9a)

Solving
12 + 6a = -24 + 9a

Solving for variable 'a'.

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

Add '-9a' to each side of the equation.
12 + 6a + -9a = -24 + 9a + -9a

Combine like terms: 6a + -9a = -3a
12 + -3a = -24 + 9a + -9a

Combine like terms: 9a + -9a = 0
12 + -3a = -24 + 0
12 + -3a = -24

Add '-12' to each side of the equation.
12 + -12 + -3a = -24 + -12

Combine like terms: 12 + -12 = 0
0 + -3a = -24 + -12
-3a = -24 + -12

Combine like terms: -24 + -12 = -36
-3a = -36

Divide each side by '-3'.
a = 12

Simplifying
a = 12

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