6+3[1+3a]=2a

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Solution for 6+3[1+3a]=2a equation:


Simplifying
6 + 3[1 + 3a] = 2a
6 + [1 * 3 + 3a * 3] = 2a
6 + [3 + 9a] = 2a

Combine like terms: 6 + 3 = 9
9 + 9a = 2a

Solving
9 + 9a = 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
9 + 9a + -2a = 2a + -2a

Combine like terms: 9a + -2a = 7a
9 + 7a = 2a + -2a

Combine like terms: 2a + -2a = 0
9 + 7a = 0

Add '-9' to each side of the equation.
9 + -9 + 7a = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 7a = 0 + -9
7a = 0 + -9

Combine like terms: 0 + -9 = -9
7a = -9

Divide each side by '7'.
a = -1.285714286

Simplifying
a = -1.285714286

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