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

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


Simplifying
3a + 4b = 3(2a + b)
3a + 4b = (2a * 3 + b * 3)
3a + 4b = (6a + 3b)

Solving
3a + 4b = 6a + 3b

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 + 4b = 6a + -6a + 3b

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

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

Add '-4b' to each side of the equation.
-3a + 4b + -4b = 3b + -4b

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

Combine like terms: 3b + -4b = -1b
-3a = -1b

Divide each side by '-3'.
a = 0.3333333333b

Simplifying
a = 0.3333333333b

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