6a-3b-2a+3b=2a+6b

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


Simplifying
6a + -3b + -2a + 3b = 2a + 6b

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

Combine like terms: 6a + -2a = 4a
4a + -3b + 3b = 2a + 6b

Combine like terms: -3b + 3b = 0
4a + 0 = 2a + 6b
4a = 2a + 6b

Solving
4a = 2a + 6b

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
4a + -2a = 2a + -2a + 6b

Combine like terms: 4a + -2a = 2a
2a = 2a + -2a + 6b

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

Divide each side by '2'.
a = 3b

Simplifying
a = 3b

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