2(4a-12)+3=6a+1

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Solution for 2(4a-12)+3=6a+1 equation:


Simplifying
2(4a + -12) + 3 = 6a + 1

Reorder the terms:
2(-12 + 4a) + 3 = 6a + 1
(-12 * 2 + 4a * 2) + 3 = 6a + 1
(-24 + 8a) + 3 = 6a + 1

Reorder the terms:
-24 + 3 + 8a = 6a + 1

Combine like terms: -24 + 3 = -21
-21 + 8a = 6a + 1

Reorder the terms:
-21 + 8a = 1 + 6a

Solving
-21 + 8a = 1 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-21 + 8a + -6a = 1 + 6a + -6a

Combine like terms: 8a + -6a = 2a
-21 + 2a = 1 + 6a + -6a

Combine like terms: 6a + -6a = 0
-21 + 2a = 1 + 0
-21 + 2a = 1

Add '21' to each side of the equation.
-21 + 21 + 2a = 1 + 21

Combine like terms: -21 + 21 = 0
0 + 2a = 1 + 21
2a = 1 + 21

Combine like terms: 1 + 21 = 22
2a = 22

Divide each side by '2'.
a = 11

Simplifying
a = 11

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