2(a-3b)-3(b-2a)=

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


Simplifying
2(a + -3b) + -3(b + -2a) = 0
(a * 2 + -3b * 2) + -3(b + -2a) = 0
(2a + -6b) + -3(b + -2a) = 0

Reorder the terms:
2a + -6b + -3(-2a + b) = 0
2a + -6b + (-2a * -3 + b * -3) = 0
2a + -6b + (6a + -3b) = 0

Reorder the terms:
2a + 6a + -6b + -3b = 0

Combine like terms: 2a + 6a = 8a
8a + -6b + -3b = 0

Combine like terms: -6b + -3b = -9b
8a + -9b = 0

Solving
8a + -9b = 0

Solving for variable 'a'.

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

Add '9b' to each side of the equation.
8a + -9b + 9b = 0 + 9b

Combine like terms: -9b + 9b = 0
8a + 0 = 0 + 9b
8a = 0 + 9b
Remove the zero:
8a = 9b

Divide each side by '8'.
a = 1.125b

Simplifying
a = 1.125b

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