4(2a+3)-9a=-3(a-11+3)

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Solution for 4(2a+3)-9a=-3(a-11+3) equation: 


Simplifying
4(2a + 3) + -9a = -3(a + -11 + 3)

Reorder the terms:
4(3 + 2a) + -9a = -3(a + -11 + 3)
(3 * 4 + 2a * 4) + -9a = -3(a + -11 + 3)
(12 + 8a) + -9a = -3(a + -11 + 3)

Combine like terms: 8a + -9a = -1a
12 + -1a = -3(a + -11 + 3)

Reorder the terms:
12 + -1a = -3(-11 + 3 + a)

Combine like terms: -11 + 3 = -8
12 + -1a = -3(-8 + a)
12 + -1a = (-8 * -3 + a * -3)
12 + -1a = (24 + -3a)

Solving
12 + -1a = 24 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
12 + -1a + 3a = 24 + -3a + 3a

Combine like terms: -1a + 3a = 2a
12 + 2a = 24 + -3a + 3a

Combine like terms: -3a + 3a = 0
12 + 2a = 24 + 0
12 + 2a = 24

Add '-12' to each side of the equation.
12 + -12 + 2a = 24 + -12

Combine like terms: 12 + -12 = 0
0 + 2a = 24 + -12
2a = 24 + -12

Combine like terms: 24 + -12 = 12
2a = 12

Divide each side by '2'.
a = 6

Simplifying
a = 6

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