9(4-3a)=-6[-2(3a-5-4a)]

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Solution for 9(4-3a)=-6[-2(3a-5-4a)] equation: 


Simplifying
9(4 + -3a) = -6[-2(3a + -5 + -4a)]
(4 * 9 + -3a * 9) = -6[-2(3a + -5 + -4a)]
(36 + -27a) = -6[-2(3a + -5 + -4a)]

Reorder the terms:
36 + -27a = -6[-2(-5 + 3a + -4a)]

Combine like terms: 3a + -4a = -1a
36 + -27a = -6[-2(-5 + -1a)]
36 + -27a = -6[(-5 * -2 + -1a * -2)]
36 + -27a = -6[(10 + 2a)]
36 + -27a = [10 * -6 + 2a * -6]
36 + -27a = [-60 + -12a]

Solving
36 + -27a = -60 + -12a

Solving for variable 'a'.

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

Add '12a' to each side of the equation.
36 + -27a + 12a = -60 + -12a + 12a

Combine like terms: -27a + 12a = -15a
36 + -15a = -60 + -12a + 12a

Combine like terms: -12a + 12a = 0
36 + -15a = -60 + 0
36 + -15a = -60

Add '-36' to each side of the equation.
36 + -36 + -15a = -60 + -36

Combine like terms: 36 + -36 = 0
0 + -15a = -60 + -36
-15a = -60 + -36

Combine like terms: -60 + -36 = -96
-15a = -96

Divide each side by '-15'.
a = 6.4

Simplifying
a = 6.4

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