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

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


Simplifying
6(2a + -3b) = -4(3a + 4)
(2a * 6 + -3b * 6) = -4(3a + 4)
(12a + -18b) = -4(3a + 4)

Reorder the terms:
12a + -18b = -4(4 + 3a)
12a + -18b = (4 * -4 + 3a * -4)
12a + -18b = (-16 + -12a)

Solving
12a + -18b = -16 + -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.
12a + 12a + -18b = -16 + -12a + 12a

Combine like terms: 12a + 12a = 24a
24a + -18b = -16 + -12a + 12a

Combine like terms: -12a + 12a = 0
24a + -18b = -16 + 0
24a + -18b = -16

Add '18b' to each side of the equation.
24a + -18b + 18b = -16 + 18b

Combine like terms: -18b + 18b = 0
24a + 0 = -16 + 18b
24a = -16 + 18b

Divide each side by '24'.
a = -0.6666666667 + 0.75b

Simplifying
a = -0.6666666667 + 0.75b

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