7a+2b=4b+a

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Solution for 7a+2b=4b+a equation:


Simplifying
7a + 2b = 4b + a

Reorder the terms:
7a + 2b = a + 4b

Solving
7a + 2b = a + 4b

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
7a + -1a + 2b = a + -1a + 4b

Combine like terms: 7a + -1a = 6a
6a + 2b = a + -1a + 4b

Combine like terms: a + -1a = 0
6a + 2b = 0 + 4b
6a + 2b = 4b

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

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

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

Divide each side by '6'.
a = 0.3333333333b

Simplifying
a = 0.3333333333b

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