12a+3b=2a+2b

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Solution for 12a+3b=2a+2b equation:


Simplifying
12a + 3b = 2a + 2b

Solving
12a + 3b = 2a + 2b

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.
12a + -2a + 3b = 2a + -2a + 2b

Combine like terms: 12a + -2a = 10a
10a + 3b = 2a + -2a + 2b

Combine like terms: 2a + -2a = 0
10a + 3b = 0 + 2b
10a + 3b = 2b

Add '-3b' to each side of the equation.
10a + 3b + -3b = 2b + -3b

Combine like terms: 3b + -3b = 0
10a + 0 = 2b + -3b
10a = 2b + -3b

Combine like terms: 2b + -3b = -1b
10a = -1b

Divide each side by '10'.
a = -0.1b

Simplifying
a = -0.1b

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