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

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


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

Reorder the terms:
3(3 + 2a) = 2(2a + -1)
(3 * 3 + 2a * 3) = 2(2a + -1)
(9 + 6a) = 2(2a + -1)

Reorder the terms:
9 + 6a = 2(-1 + 2a)
9 + 6a = (-1 * 2 + 2a * 2)
9 + 6a = (-2 + 4a)

Solving
9 + 6a = -2 + 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.
9 + 6a + -4a = -2 + 4a + -4a

Combine like terms: 6a + -4a = 2a
9 + 2a = -2 + 4a + -4a

Combine like terms: 4a + -4a = 0
9 + 2a = -2 + 0
9 + 2a = -2

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

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

Combine like terms: -2 + -9 = -11
2a = -11

Divide each side by '2'.
a = -5.5

Simplifying
a = -5.5

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