-4(-6+3a)=-9-9(a-2)

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Solution for -4(-6+3a)=-9-9(a-2) equation:


Simplifying
-4(-6 + 3a) = -9 + -9(a + -2)
(-6 * -4 + 3a * -4) = -9 + -9(a + -2)
(24 + -12a) = -9 + -9(a + -2)

Reorder the terms:
24 + -12a = -9 + -9(-2 + a)
24 + -12a = -9 + (-2 * -9 + a * -9)
24 + -12a = -9 + (18 + -9a)

Combine like terms: -9 + 18 = 9
24 + -12a = 9 + -9a

Solving
24 + -12a = 9 + -9a

Solving for variable 'a'.

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

Add '9a' to each side of the equation.
24 + -12a + 9a = 9 + -9a + 9a

Combine like terms: -12a + 9a = -3a
24 + -3a = 9 + -9a + 9a

Combine like terms: -9a + 9a = 0
24 + -3a = 9 + 0
24 + -3a = 9

Add '-24' to each side of the equation.
24 + -24 + -3a = 9 + -24

Combine like terms: 24 + -24 = 0
0 + -3a = 9 + -24
-3a = 9 + -24

Combine like terms: 9 + -24 = -15
-3a = -15

Divide each side by '-3'.
a = 5

Simplifying
a = 5

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