0.3(2a-3)=0.2a+0.9

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Solution for 0.3(2a-3)=0.2a+0.9 equation: 


Simplifying
0.3(2a + -3) = 0.2a + 0.9

Reorder the terms:
0.3(-3 + 2a) = 0.2a + 0.9
(-3 * 0.3 + 2a * 0.3) = 0.2a + 0.9
(-0.9 + 0.6a) = 0.2a + 0.9

Reorder the terms:
-0.9 + 0.6a = 0.9 + 0.2a

Solving
-0.9 + 0.6a = 0.9 + 0.2a

Solving for variable 'a'.

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

Add '-0.2a' to each side of the equation.
-0.9 + 0.6a + -0.2a = 0.9 + 0.2a + -0.2a

Combine like terms: 0.6a + -0.2a = 0.4a
-0.9 + 0.4a = 0.9 + 0.2a + -0.2a

Combine like terms: 0.2a + -0.2a = 0.0
-0.9 + 0.4a = 0.9 + 0.0
-0.9 + 0.4a = 0.9

Add '0.9' to each side of the equation.
-0.9 + 0.9 + 0.4a = 0.9 + 0.9

Combine like terms: -0.9 + 0.9 = 0.0
0.0 + 0.4a = 0.9 + 0.9
0.4a = 0.9 + 0.9

Combine like terms: 0.9 + 0.9 = 1.8
0.4a = 1.8

Divide each side by '0.4'.
a = 4.5

Simplifying
a = 4.5

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