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

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


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

Reorder the terms:
3(3 + 4a) = 2(a + -2)
(3 * 3 + 4a * 3) = 2(a + -2)
(9 + 12a) = 2(a + -2)

Reorder the terms:
9 + 12a = 2(-2 + a)
9 + 12a = (-2 * 2 + a * 2)
9 + 12a = (-4 + 2a)

Solving
9 + 12a = -4 + 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 + 12a + -2a = -4 + 2a + -2a

Combine like terms: 12a + -2a = 10a
9 + 10a = -4 + 2a + -2a

Combine like terms: 2a + -2a = 0
9 + 10a = -4 + 0
9 + 10a = -4

Add '-9' to each side of the equation.
9 + -9 + 10a = -4 + -9

Combine like terms: 9 + -9 = 0
0 + 10a = -4 + -9
10a = -4 + -9

Combine like terms: -4 + -9 = -13
10a = -13

Divide each side by '10'.
a = -1.3

Simplifying
a = -1.3

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