a-2(a-6)=3a

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


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

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

Reorder the terms:
12 + a + -2a = 3a

Combine like terms: a + -2a = -1a
12 + -1a = 3a

Solving
12 + -1a = 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 + -1a + -3a = 3a + -3a

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

Combine like terms: 3a + -3a = 0
12 + -4a = 0

Add '-12' to each side of the equation.
12 + -12 + -4a = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -4a = 0 + -12
-4a = 0 + -12

Combine like terms: 0 + -12 = -12
-4a = -12

Divide each side by '-4'.
a = 3

Simplifying
a = 3

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