2(3a+1)=7-4a

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Solution for 2(3a+1)=7-4a equation:


Simplifying
2(3a + 1) = 7 + -4a

Reorder the terms:
2(1 + 3a) = 7 + -4a
(1 * 2 + 3a * 2) = 7 + -4a
(2 + 6a) = 7 + -4a

Solving
2 + 6a = 7 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
2 + 6a + 4a = 7 + -4a + 4a

Combine like terms: 6a + 4a = 10a
2 + 10a = 7 + -4a + 4a

Combine like terms: -4a + 4a = 0
2 + 10a = 7 + 0
2 + 10a = 7

Add '-2' to each side of the equation.
2 + -2 + 10a = 7 + -2

Combine like terms: 2 + -2 = 0
0 + 10a = 7 + -2
10a = 7 + -2

Combine like terms: 7 + -2 = 5
10a = 5

Divide each side by '10'.
a = 0.5

Simplifying
a = 0.5

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