-6(2a-4)=3(-5a-1)

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Solution for -6(2a-4)=3(-5a-1) equation:


Simplifying
-6(2a + -4) = 3(-5a + -1)

Reorder the terms:
-6(-4 + 2a) = 3(-5a + -1)
(-4 * -6 + 2a * -6) = 3(-5a + -1)
(24 + -12a) = 3(-5a + -1)

Reorder the terms:
24 + -12a = 3(-1 + -5a)
24 + -12a = (-1 * 3 + -5a * 3)
24 + -12a = (-3 + -15a)

Solving
24 + -12a = -3 + -15a

Solving for variable 'a'.

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

Add '15a' to each side of the equation.
24 + -12a + 15a = -3 + -15a + 15a

Combine like terms: -12a + 15a = 3a
24 + 3a = -3 + -15a + 15a

Combine like terms: -15a + 15a = 0
24 + 3a = -3 + 0
24 + 3a = -3

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

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

Combine like terms: -3 + -24 = -27
3a = -27

Divide each side by '3'.
a = -9

Simplifying
a = -9

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