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

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


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

Reorder the terms:
(-2a + 3b) = a + -4a

Remove parenthesis around (-2a + 3b)
-2a + 3b = a + -4a

Combine like terms: a + -4a = -3a
-2a + 3b = -3a

Solving
-2a + 3b = -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
-2a + 3a + 3b = -3a + 3a

Combine like terms: -2a + 3a = 1a
1a + 3b = -3a + 3a

Combine like terms: -3a + 3a = 0
1a + 3b = 0

Add '-3b' to each side of the equation.
1a + 3b + -3b = 0 + -3b

Combine like terms: 3b + -3b = 0
1a + 0 = 0 + -3b
1a = 0 + -3b
Remove the zero:
1a = -3b

Divide each side by '1'.
a = -3b

Simplifying
a = -3b

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