3a+5b=7b-6a

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Solution for 3a+5b=7b-6a equation:


Simplifying
3a + 5b = 7b + -6a

Reorder the terms:
3a + 5b = -6a + 7b

Solving
3a + 5b = -6a + 7b

Solving for variable 'a'.

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

Add '6a' to each side of the equation.
3a + 6a + 5b = -6a + 6a + 7b

Combine like terms: 3a + 6a = 9a
9a + 5b = -6a + 6a + 7b

Combine like terms: -6a + 6a = 0
9a + 5b = 0 + 7b
9a + 5b = 7b

Add '-5b' to each side of the equation.
9a + 5b + -5b = 7b + -5b

Combine like terms: 5b + -5b = 0
9a + 0 = 7b + -5b
9a = 7b + -5b

Combine like terms: 7b + -5b = 2b
9a = 2b

Divide each side by '9'.
a = 0.2222222222b

Simplifying
a = 0.2222222222b

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