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

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


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

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

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

Combine like terms: 12 + 6 = 18
2 + 6a = 18 + 8a

Solving
2 + 6a = 18 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
2 + 6a + -8a = 18 + 8a + -8a

Combine like terms: 6a + -8a = -2a
2 + -2a = 18 + 8a + -8a

Combine like terms: 8a + -8a = 0
2 + -2a = 18 + 0
2 + -2a = 18

Add '-2' to each side of the equation.
2 + -2 + -2a = 18 + -2

Combine like terms: 2 + -2 = 0
0 + -2a = 18 + -2
-2a = 18 + -2

Combine like terms: 18 + -2 = 16
-2a = 16

Divide each side by '-2'.
a = -8

Simplifying
a = -8

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